References

advertisement
References
[1] G. Hovhannisyan.Ablowitz-Ladik hierarchy of integrable equations on a time–space scale.
Journal of Mathematical Physics, (2014), 55:10, 11 pages, doi: 10.1063/1.4896564
[2] G. Hovhannisyan. Asymptotic behavior of a planar dynamic system. Rocky Mountain J.
Math. (2014), 44:4, 1203-1242.
[3] L. Erbe, G. Hovhannisyan, A. Peterson. Wimans formula for a second order dynamic equation. Advances in Difference Equations. 2014 (2014), 61, 1-15.
[4] Gro Hovhannisyan. On oscillations of solutions of n-th order dynamic equation.
ISRN Mathematical Analysis,Volume 2013 (2013), Article ID 946453, 11 pages.
doi.org/10.1155/2013/946453
[5] Gro Hovhannisyan, Stability of planar nonautonomous dynamic systems. Advances in Difference Equations 2013 (2013), 144. 38 pp.
[6] Gro Hovhannisyan, Poissons inequality for a Dirichlet problem on a time scale. Communications in Applied Analysis, 2012, 16:3, 415-422
[7] L. Erbe, G. Hovhannisyan, and A. Peterson, Asymptotic behavior of n-th order dynamic
equations Nonlinear Dynamics and Systems Theory, 2012, 12, no.1, 63-80
[8] Gro Hovhannisyan On oscillations of solutions of third-order dynamic equations. Abstract
and Applied Analysis, 2012 Article ID 715981, 15 pages Doi:10.1155/2012/715981
[9] Gro Hovhannisyan On Dirac equation on a time scale. Journal of Mathematical Physics,
2011.Vol.52:10, 16 pages, DOI: 10.1063/1.3644343
[10] Gro Hovhannisyan, Wen Liu On non-autonomous Dirac equation. Journal of Mathematical
Physics, 2009, 50:12, 123507 (24 pages) DOI: 10.1063/1.3644343
[11] Gro Hovhannisyan, R. Vulanovic Stability inequalities for one-dimensional singular perturbation problems. Nonlinear Stud. 2008, 15, 297- 322.
[12] Gro Hovhannisyan WKB Estimates for 22 Linear Dynamic Systems on Time Scales.
Advances in Difference Equations, vol. 2008, Article ID 712913, 12 pages, 2008.
doi:10.1155/2008/712913.
[13] Gro Hovhannisyan Levinson Theorem for 2 x 2 System and Applications to the Asymptotic
Stability and Schrodinger Equation. International Journal of Evolution Equations, 2008, 3:2,
pp181-203
[14] Gro Hovhannisyan Asymptotic Stability for 2 x 2 Linear Dynamic Systems on Time Scales.
International Journal of Difference Equations, 2007, Volume 2:1, pp.105-121.
[15] Gro Hovhannisyan Error estimates for asymptotic solutions of dynamic equations on time
scales. Proceedings of the MSU-UAB Conference. Electron. J. Diff. Equations. Conference
15, 2007, 159-162.
[16] Gro Hovhannisyan Asymptotic stability and asymptotic solutions of second-order differential
equations. Journal of Mathematical Analysis and Applications, Volume 327, Issue 1, 2007, p
47-62 http://dx.doi.org/10.1016/j.jmaa.2006.03.076
[17] Gro HovhannisyanAsymptotic Stability for Second Order Dynamic Equations on Time
Scales. Advances in Difference Equations, vol. 2006, Article ID 18157, 2006, 17 pages
http://dx.doi.org/10.1155/ADE/2006/18157
[18] R. Vulanovic, Gro Hovhannisyan On a Posteriori Error Estimates for One-dimensional
Convection-diffusion Problems. Computers and Mathematics Applications, 51, 2006, 915926 http://dx.doi.org/10.1016/j.camwa.2005.11.027
[19] Gro Hovhannisyan Asymptotic stability for second-order differential equations with complex
coefficients. Electron. J. Diff. Equations. Vol. 2004(2004), No. 85, pp. 1-20
[20] C. Broadbent, M. Clayton, S. A. Glasgow, J. Peatross, G. Hovhannisyan Dynamical energy
and loss in dispersive/dissipative dielectrics. Chapter 9 of Focus on Lasers and Electro-Optics
Research, Nova Science Publishers, 2004.
[21] C. Broadbent, M. Clayton, S. A. Glasgow, J. Peatross, G. Hovhannisyan Reversible and
Irreversible Processes in Dispersive/Dissipative Media: Electro-Magnetic Free Energy and
Heat Production. UWSP 6, Plenum, 2003, pp. 131-142.
[22] G. Hovhannisyan, Y. Taroyan Adiabatic invariant for a linear oscillator in an external field.
Izv. NAN Armenii, Matematika, [English translation: Journal of Contemporary Math. Analysis -(Armenian Academy of Sciences) 33(1998), no.6 70-75 (2000)
1
2
[23] Gro Hovhannisyan, Y. Taroyan Adiabatic invariant for N-connected linear oscillators. Izv.
NAN Armenii, Matematika, [English translation: Journal of Contemporary Math. Analysis
-(Armenian Academy of Sciences) 31 (1996), no.6, 47-57 (1997)
[24] Gro HovhannisyanAsymptotic solutions of the singular hyperbolic equations. Izv. NAN Armenii, Matematika, [English translation: Journal of Contemporary Math. Analysis - (Armenian Academy of Sciences) 1996, v.31, no.3, pp. 42-61 (1997)
[25] Gro Hovhannisyan Estimates for error functions of asymptotic solutions of ordinary linear differential equations. Izv. NAN Armenii, Matematika, [English translation: Journal of
Contemporary Math. Analysis -(Armenian Academy of Sciences) 1996, v.31, no.1, pp.9-28
[26] Gro Hovhannisyan Uniqueness of the solution of the Cauchy weighted problem and a new energy formula. Izv. AN Arm. SSR, Matematika, [English translation: Journal of Contemporary
Math. Analysis -(Armenian Academy of Sciences) 1991, Vol. 26, No.5, p. 15-25]
[27] Gro Hovhannisyan Cauchy-Kovalevsky theorem with given wronskians for singular differential equations. Izv. AN Arm. SSR, Matematika, [English translation: Journal of Contemporary Math. Analysis -(Armenian Academy of Sciences) 1991, Vol. 26, No.1, p. 18-28]
[28] Gro Hovhannisyan JWKB Estimates and Weighted Cauchy Problems for Singular on Initial
Hyper Plane Partial Differential equations. - Bull. Polish Acad. Science. Math. 1991, v. 39,
no. 1-2, pp.31-38. (English)
[29] Gro Hovhannisyan Weighted Dirichlet problem for a singular second order elliptic equation.
Izv. AN Arm. SSR, Matematika, [English translation: Soviet Journal of Contemporary Math.
Analysis - (Armenian Academy of Sciences) 1990, Vol. 25, No.5, p. 28-42]
[30] Gro Hovhannisyan WKB-estimates for partial differential equations and Cauchy problem for
second order singular hyperbolic equations. Izv. AN Arm. SSR, Matematika, [English translation: Soviet Journal of Contemporary Math. Analysis -(Armenian Academy of Sciences)
1990, Vol.25, No.2, p. 12-22
[31] Gro Hovhannisyan Initial value problem for certain singular hyperbolic equations and WKBestimates for solutions. Differential equations (Minsk). 1989, vol. 25, no. 6, p. 1062-1064
(Russian).
[32] R.Airapetian, M.I. Graev, M.M. Graev, G. Hovhannisyan Integral of Normal Curvature and
Plancherels theorem in 3-dimension complex integral geometry. Keldish Inst. Applied. Math.
1989. Preprint 149, 27 pp. (Russian)
[33] R.Airapetian, I.M. Gelfand, M.I. Graev, G. Hovhannisyan Plancherels formula associated
with an admissible complex of straight lines in CP 3 . Izv. AN Arm. SSR, Matematika,
[English translation: Soviet Journal of Contemporary Math. Analysis - (Armenian Academy
of Sciences) 1988, Vol.23, no.1, p. 1-20 (coauthors: Gelfand I. M., Graev M. I., Airapetian
R.G.)
[34] Gro Hovhannisyan Weighted mean value theorems for the singularly pertubered Laplace equation. Soviet Journal of Contemporary Math. Analysis - (Armenian Academy of Sciences) 1988,
Vol.23, no. 4, p. 20-33 [Izv. AN Arm. SSR, Matematika 1988, 23:4, 325-335 (in Russian)]
[35] Gro Hovhannisyan On weighted Cauchy and Dirichlet problems for certain partial differential
equations singular on the boundary. Izv. AN Arm. SSR, Matematika, [English translation:
Soviet Journal of Contemporary Math. Analysis - (Armenian Academy of Sciences) 1988,
Vol. 23, No.1, p. 1-20]
[36] Gro Hovhannisyan On the initial value and mixed problems with prescribed wronskians for
second order singular hyperbolic equations. Izv. AN Arm. SSR, Matematika, [English translation: Soviet Journal of Contemporary Math. Analysis - (Armenian Academy of Sciences)
1987, Vol. 22, No.4, p.23-44
[37] R.Airapetian, I.M. Gelfand, M.I. Graev, G. Hovhannisyan Plancherels theorem for an integral
transformation associated with pair of grassmanian manifolds. Izv. AN Arm. SSR, Matematika, [English translation: Soviet Journal of Contemporary Math. Analysis – (Armenian
Academy of Sciences) 1984, Vol.19, No.6, p. 53- 69]
[38] R.Airapetian, I.M. Gelfand, M.I. Graev, G. Hovhannisyan Plancherels theorem for an integral transformation associated with a complex of p-planes in CP n and C n . Izv. AN Arm.
SSR, Matematika, [English translation: Soviet Journal of Contemporary Math. Analysis –
(Armenian Academy of Sciences) 1983, Vol.18, No.4, p. 21-32
[39] R.Airapetian, I.M. Gelfand, M.I. Graev, G. Hovhannisyan Plancherels theorem for an integral
transformation associated with a complex of p-dimensional planes in CP n . Soviet Math.
Dokl. 1983, vol. 27, no.1, pp. 47-50.
3
[40] R.Airapetian, I.M. Gelfand, M.I. Graev, G. Hovhannisyan Plancherels formula for integral
transformation associated with a complex of straight lines which intersect algebraic curve in
C 3 and CP 3 . Dokl. Armenian Acad. Sci. 1982, vol. 75, no. 1, p.9-15 (Russian).
[41] Gro Hovhannisyan,K. A. Yagdgian Cauchy problem for hyperbolic pseudo differential operators in Gevrey classes. Izv. AN Arm. SSR, Matematika, [English translation: Soviet Journal
of Contemporary Math. Analysis – (Armenian Academy of Sciences) 1981, Vol.16, No.2,
p.46-63.
[42] Gro Hovhannisyan On the initial value problem with given wronskians. Izv. AN Arm.
SSR, Matematika, [English translation: Soviet Journal of Contemporary Math. Analysis (Armenian Academy of Sciences) 1980, Vol.15, No.4, p.43-59
[43] Suren D. Grigoryan, Gro Hovhannisyan The Crofton theorem and the Buffon Silvester problems. Combinatorial principles in stochastic geometry. Armenian Acad. Sci. 1980, p.157-163.
(Russian )
[44] Gro Hovhannisyan Mixed problems for weakly hyperbolic equations with two independent variables. Izv. AN Arm. SSR, Matematika, [English translation: Soviet Journal of Contemporary
Math. Analysis -(Armenian Academy of Sciences) 1979, Vol.14, No.5, p.41-61
[45] Gro Hovhannisyan Mixed problems for weakly hyperbolic equations. Dokl. Armenian Acad.
Sci. 1977, vol. 65, pp.132-135 (Russian)
[46] A. B. Nersesyan, A.O. Oganesyan, G. Hovhannisyan On the method of investigation of
Cauchy problem for weakly hyperbolic equations. Proc. of the Conf. on the Part. Diff. Eq.
Devoted to Acad. I. G. Petrovsky at the 75-th anniversary of his birthday. Moscow Univ.
Press, 1978, p. 391-395.
[47] Gro Hovhannisyan Cauchy problem for weakly hyperbolic pseudo differential systems with
data on the hyperplane of degeneracy. Izv. Acad. Nauk Arm. SSR, 1975, vol.10, No. 2, p.
97-102 (Russian)
[48] Gro Hovhannisyan Weighted Cauchy problem for weakly hyperbolic pseudo differential equations with data on the hyper plane of degeneracy. Yerevan State University Science Scriptures,
1975, No 1, p. 10-16. (Russian)
[49] Gro Hovhannisyan, A. B. Nersesyan On the Cauchy problem for weakly hyperbolic equations.
Izv. Acad. Nauk Arm. SSR, Matematica, 1974, vol. 9, No. 2, pp 149-165 (coauthor , Russian).
Download