List of Main Publications of Nugzar Shavlakadze

The contact problem of
intersection of variable crosssection stringer with halfplane. (Russian).
Reports of Enlarged Session of the Seminar of I. Vekua
Inst. Appl. Math. 2(1986), No.2, 127130.

Strengthening problem for
plate with circular opening. (Russian). Trans. of GTU, 1986, No.
6 (303), 6064.

Elastic isotropic halfplane
strengthened be finite stringers of variable crosssection. (Russian).
Bull. Georgian Acad. Sci. 130 (1988),
No. 3, 509512.

The contact problem for unbounded domain.
(Russian) Depon. Nauchn. Raboti. Moscow. WINITI. 1988. No.10. C. 207.

The elastic plate,
strengthened by inclusion of variable rigidity. Symposium dedicated to the
centenary of Academician N. Muskhelishvili.
Continuum Mechanics and related problems of analysis. Tbilisi,
06.0611.06. 1991.

The effective solution of a
plane mixed problem for the plate bending. (Russian). Trans. of GTU,
1992, No. 5(388), 4146.

The effective solution of some
mixed plane elasticity problems. (Russian). Bull. Georgian Acad.
Sci. 144 (1991), No. 2, 309312.

The effective solution one
mixed problem for the plate bending (Russian). Reports of Enlarged session
of the Seminar of I. Vekua Inst. of
Appl. Math. 7 (1992), No. 1, 6367.

Investigation of one type
integral differential equations and contact problems of the theory of
elasticity connected with them. Reports of Enlarged session of the Seminar
of I.Vekua Inst. of Appl.
Math. 8 (1993), No. 2, 8185.

The investigation of one
integraldifferential equation and its application for the contact problems of
the elasticity theory (Russian). Proc. of A. Razmadze
Math. Inst. 105 (1995), 98107.

The compound plate with semiinfinite
inclusion (with B. Midodashvili). Techinform, No. 110496, 1996.

The contact interaction of the
elastic wedge with the elastic fastener. Bull. Georgian Acad.
Sci. 156 (1997), No. 3, 361365. 8. 8.

Problems of the plane theory
of elasticity with boundary conditions moving with varying velocity.
International Symposium dedicated to the 90^{th} Birthday Anniversary
of Academician I. Vekua. Tbilisi, 21.0625.06,
1997.

The
antiplate problem for elastic semispace with elastic inclusion.
International Symposium of Problems of Continuum Mechanics. Tbilisi,
16.0619.06, 1997.

The bending problem of finite
plate with elastic inclusion. Symposium in the Differ. Equations and Math.
Physics dedicated to the 95^{th} Birthday Anniversary of Academician
V. Kupradze, Tbilisi, 3.116.11, 1998.

On some contact problems for
Bodies with elastic inclusion. Georgian Math. J., 5 (1998), No.
3, 285300.

A contact problem of the
Interaction of semifinite inclusion with a plate. Georgian Math. J.
6 (1999), No. 5, 489500.

On singularities of contact
stress upon tension and bending of plates with elastic inclusion. Proc. A.
Razmadze Math. Inst. 120 (1999),
135147.

On some contact problems for
Bodies with elastic inclusions. The International Workshop "Mathematical
Theory of Cracks and their Propagation". Tbilisi, 8.1014.10, 2000.

The contact problem for
anisotropic wedge with elastic fastener of variable rigidity (with R.
Bantsuri). Symposium in the Differ. Equations
and Math. Physics dedicated to the 110^{th} Birthday Anniversary of
Academician N. Muskhelishvili, Tbilisi,
23.0725.07, 2001.

Nonclassical
biharmonic boundary value problems describing the
band of finite and infinite plates with inclusions.
Mem. Differential Equations Math. Phys. 22 (2001),
91140.

The contact problem of bending
of plate with thin fastener (Russian). Izv.
Ross. Akad. Nauk,
Mekh. Tv.
Tela. 2001, No. 3, 144155. Engl.
Transl.: Mechanic of solids. 36
(2001), part 3, 122127.

Contact problems of an elastic
plate strengthened by a periodic system of inclusions of variable rigidity. Proc. A.
Razmadze Math. Inst. 123
(2000), 135146.

Bending of elastic Anisotropic
plate, reinforced of a finite site by inclusion of variable rigidity
(Russian). Izv. Naz.
Akad. Nauk
Armenii, Mekhanica,
54 (2001), No.1, 5663.

Contact problem of bending of
a rectangular elastic plate with an elastic inclusion (with L.
Gogolauri) . Proc. A.
Razmadze Math. Inst. 126 (2001), 2535.

Bending of circle plate with
elastic inclusion (Russian). Izv.
Naz. Akad.
Nauk Armenii,
Mekhanica, 54 (2001), No. 2, 2231.

The contact problem for
anisotropic wedge with elastic fastener of variable rigidity (with R.
Bantsuri). (Russian) Prikl.
Mat. i Mekh., 66
(2002), No. 4, 663669. Engl. transl.: J.
Appl. Math. Mech. 66 (2002), No. 4,
645650.

Bending of elastic anisotropic
plate with circle hole, reinforced with inclusions on a finite sites
(Russian). Prikl. Mekh.
38(2002), No.3, 114121. Engl. transl.:
Int. Appl. Mech. 38(2002),
No.3, 356364.

Bending of elastic anisotropic
plate with elastic inclusion (Russian). Izv.
Ross. Akad. Nauk.
Mekh.Tv. Tela,
2003, No.6, 102108. Engl. Transl.: Mechanic
of solids, 2003, part 6, 8387.

The contact problem for
anisotropic wedge with elastic beam of variable rigidity (with R.
Bantsuri). Symposium in the Diff. Equations and
Math. Physics, Tbilisi, 24.1225.12, 2003.
 Contact
problem concerning the bending of a plate with a thin reinforcement.
Prikl. Mekh. i Tekhnicheskaya Fizika (PMTF), 2003, No. 3, p.
144150.

The bending problem of beam
lying on the elastic basis (with R. Bantsuri).
(Russian). Prikl. Mat.
i. Mech. 69 (2005), No. 2, 296302. Engl.
Transl.: J. Appl.
Math. Mech. 69 (2005), No. 2, 268274.

Contact problem for
orthotropic plate with an elastic semiinfinite inclusion. Proc. A
Razmadze Math. Inst. 138 (2005), 7380.

The contact problem for
piecewisehomogeneous plate, strengthened by semiinfinite inclusion crossing
the boundary by right angle. Proc. A. Razmadze
Math. Inst. 143 (2007), 151153.

The contact problem for
compound plate with an elastic semiinfinite inclusion. ISAAC Conference
"Complex Analysis, Partial Differential Equations, and Mechanics of
Continua". 2327 April, 2007, Tbilisi.

The contact problems of the
Mathematical Theory of Elasticity for plates with an elastic inclusion. IUTAM
Symposium "Relation of Shell, Plate, Beam, and 3D Models". 2327 April,
2007, Tbilisi.

The contact problem for
piecewisehomogeneous plate, strengthened by semiinfinite inclusion crossing
the boundary by right angle (with R. Bantsuri).
International Conference "Topical problems of continuum Mechanics". 2528
September, 2007, Tsakhkadzor, Armenia.

The contact problems of the
Mathematical Theory of Elasticity for plates with an elastic inclusion.
Acta Appl.
Math. 99 (2007), 2951.

The contact problems of the
Mathematical Theory of Elasticity for plates with an elastic inclusion. G.
Jaiani, PodioGuidugli
(eds), "IUTAM Symposium on relations of Shell,
Plate, Beam and 3D models". Springer Science +Business Media B. V. 2008.
pp. 197204.

About dynamical contact problems for bodies with elastic
cover plate. VI International conference
"The problems of dynamics of
deformable media", September 2126,
GorisStepanakert,
2008.

The dynamic bending problem of beam lying on the elastic
basis. International conference on Modern Problems in Applied Mathematics
dedicated to the 90^{th} Anniversary of Iv. Javakhishvili Tbilisi State University and 40^{th} Anniversary
of the I. Vekua Institute of Applied Mathematics,
79 October, Tbilisi, 2008.

The contact problem for a compound plate with an elastic
inclusion. Proc. A. Razmadze Math. Inst. 149
(2009),
95101.

The contact problem for piecewise homogeneous elastic plate
with semiinfinite inclusion (with R. Bantsuri). (Russian)
Prikl. Mat.
i Mech. 73 (2009), No. 4, 655662.
Engl. Transl.: J. Appl.
Math. Mech. 73(2009), No. 4, 471477.

The dynamic contact problem for halfplate with an elastic
cover plate. Proc. A. Razmadze Math. Inst. 151(2009),
109116.

A contact problem for piecewise homogeneous elastic
orthotropic plate.(with R. Bantsuri). Fifth
Congress of Mathematicians of Georgia , Abstracts
of contributed talks. Batumi/Kutaisi, October 912, 2009.

The mixed problem for a piecewise homogeneous orthotropic
plane with a cut, intersecting perpendicularly the
line of interface (with R. Bantsuri). Proc. A
Razmadze Math. Inst. 154 (2010), 5364.

The contact problem for piecewise orthotropic plane with
finite inclusion. The proceedings of International conference
"Topical
problems of continuum Mechanics", 48 October, 2010,
Dilijan, Armenia, 213216.

The approximate solution of a contact problem for compound
elastic plate. ScientificTechnical Journal
"Building". No. 2(17), 2010,
193196.

The exact and approximate solution of contact problems for
plates with an elastic inclusion.
Reports of Enlarged session of
the Seminar of I.Vekua Inst. of
Appl. Math.
April 2224, 2010,
Tbilisi.

About contact problems of elasticity theory. Conference of
Georgian Mechanical Union, 2022 December, 2010,
Tbilisi.

The contact problem for piecewise homogeneous orthotropic
plane with finite inclusion (with R. Bantsuri). (Russian)
Prikl. Mat. i Mech. 75 (2011), No, 1.
133138. Engl. Transl.: J. Appl. Math. Mech.
75 (2011), No. 1, 9397.

The mixed and contact problems of elasticity theory.
International Conference
"Continuum Mechanics and related problems of
Analysis" to celebrate the 70^{th} Anniversary of the Georgian
National Academy of Sciences and the 120^{th} Birthday of its first
President Academician N. Muskhelishvili. Tbilisi,
September 914, 2011.

Dynamical contact problem for elastic half space with
absolutely rigid and elastic inclusion. II International Conference dedicated
to the 70^{th} Anniversary of the Georgian National Academy of
Sciences and the 120^{th} Birthday of its first President Academician
N. Muskhelishvili. Tbilisi, September 1519,
Batumi, Georgia.

The solution of system of integral differential equations
and its application in the theory of elasticity. Journal of Applied
Mathematics and Mechanics. ZAMM. Z.
Angew. Math. Mech.
91 (2011), No. 12, 979992.

Dynamical contact problem for an elastic
halfspace with a rigid and elastic inclusion. Proc. A. Razmadze Math.
Inst. 159 (2012), 8794.

The boundarycontact problem electroelasticity
for piezoelastic material with inclusion. Proceedings of International
conference "Topical problems of continuum Mechanics", 812 October, 2012,
Tsakhadzor, Armenia, 251255.

Contact interaction of elastic nonhomogeneous
beam with a plate having the property of viscoelasticity. Proceedings of
International Scientific Conference
"The modern problems of solid mechanics,
differential and integral equations". August 2326, 2013, Odessa, Ukraine.

On two algorithms for direct numerical
integration of the equation of the theory of finite span wing and their
comparative analysis (with A. Sahakyan). IV International conference of
the Georgian Mathematical Union. September 915, 2013, TbilisiBatumi,
Georgia, 202203.

The
Approximate solution of contact problem for anisotropic plate. Proc. A.
Razmadze Math. Inst.163 (2013), 123133.

The
boundarycontact problems electroelasticity for piezoelectric plate with
inclusion and half space with cut (with R. Bantsuri). (Russian) Prikl. Mat. i Mech.
78 (2014), No. 4, 583594. Engl. Transl.: J. Appl. Math. Mech.
78 (2014), No. 4, 9397.
 Two methods for direct numerical integration of the Prandtl equation and
comparative analysis between them (with A. Sahakyan). Zhurnal Vych. Mat. i
Mat. Fiziki 54 (2014), No. 8, 12811288. Engl. Transl.: Computational Mathematics and Mathematical Physics
54 (2014),
No. 8,
12441250.

Solution
of integrodifferential equations related to contact problems of
viscoelasticity (with R. Bantsuri). Georgian Math. J.
21 (2014), No. 4, 393405.

The
contact problem for a piecewisehomogeneous plate with a finite inclusion of
variable crosssection.
Proceedings of VIII International Conference
"The problems of dynamics of
interaction of meformable Media", 2014,
September 2226,
GorisStepanakert, Armenia, 476480.

The
effective solution of twodimensional integrodifferential equations and their
applications in the theory of viscoelasticity. Journal of Applied
Mathematics and Mechanics. ZAMM. Z. Angew. Math. Mech. 110
(2015); DOI 10.1002/zamm.201400091.
 The
boundary value contact problems of electroelasticity for piezoelastic half
space with elastic inclusion. Proceedings of IV International Conference
"Topical problems of continuum
mechanics". 2015, September
2126,
Tsakhkadzor, Armenia, 491495.

Boundarycontact problem electroelasticity and associated
integraldifferential equations. Trans. A. Razmadze Math. Inst.
170 (2016), issue 1, 107113.

The
contact problem for a piecewisehomogeneous orthotropic plate with a finite
inclusion of variable crosssection (with N. Odishelidze, F.
CriadoAldeanueva). Mathematics and Mechanics of Solids 1081286516631160, first
published on February 29, 2016, as DOI:10.1177/1081286516631160.

An
approximate solution of one class of singular integral differential equation
(with S. Kharibegashvili and O. Jokhadze). Trans.
A. Razmadze Math. Inst. 170 (2016), issue 3, 420426.

The
contact problem for a piecewisehomogeneous orthotropic plate with a finite
inclusion of variable crosssection. (with N. Odishelidze and F.
CriadoAldeanueva). Math. Mech. Solids 22 (2017), No. 6,
13261333.

Contact problem of electroelasticity for a piecewise homogeneous
piezoelectric plate with an elastic coating. (Russian) Prikl. Mat. i
Mech. 81 (2017), No. 3, 337347. Engl. Transl.: J. Appl. Math.
Mech. 81 (2017), No. 3, 228235.

The
boundary value problem for piezoelastic half space with thin elastic
inclusion (with N. Odishelidze and F. CriadoAldeanueva). Math. Mech.
Solids 23 (2018), No. 6, 896906.

The
boundary value contact problem of electroelasticity for
piecewisehomogeneous piezoelastic plate with elastic inclusion and cut.
Proceedings of V International Conference “Topical problems of continuum
mechanics”, 2017, October 27, Tsakhkadzor, Armenia, 221223.

The
boundary value contact problem of electroelasticity for
piecewisehomogeneous piezoelastic plate with elastic inclusion and cut
(with N. Odishelidze and F. CriadoAldeanueva). Math. Mech. Solids,
2018, DOI: 10.1177/108128651762620.

Approximate and exact solution of a singular integrodifferential equation
related to contact problem of elasticity theory (with O. Jokhadze and S.
Kharibegashvili). Prikl. Mat. i Mech. 82 (2018), No. 1,
114124. Engl. Transl.: J. Appl. Math. Mech. 82 (2018), No.
1, 114124.

On the
solvability of a mixed problem with a nonlinear boundary condition for a
onedimensional semilinear wave equation (with O. Jokhadze and S.
Kharibegashvili). J. Contemp. Math. Anal. 53 (2018), No. 5,
247259.

Contact interaction of the plate with a nonlinear elastic stringer (with O.
Jokhadze and S. Kharibegashvili). Prikl. Mekh. Engl. Transl.:
Mechanic of Solids, 2018, accepted for publication.