Publications

  1. "Asymptotic behavior of a planar dynamic system.” Rocky Mountain J. Math. (2014), 44:4, 1203-1242.

  2. "Ablowitz-Ladik hierarchy of integrable equations on a time-space scale" Journal of Mathematical Physics, 2014, 55:10, 1-11

  3. “Wiman’s formula for a second order dynamic equation.” Advances in Difference Equations. 2014 (2014), 61, 1-15. (co-authors L. Erbe, A. Peterson).

  4. “On oscillations of solutions of n-th order dynamic equation.” ISRN Mathematical Analysis,Volume 2013 (2013), Article ID 946453, 11 pages.

  5. “Stability of planar nonautonomous dynamic systems.” Advances in Difference Equations 2013 (2013), 144. 1-38.

  6. "Poisson's inequality for a Dirichlet problem on a time scale" Communications in Applied Analysis, 2012, 16:3, 415-422

  7. "On Oscillations of Solutions of Third-Order Dynamic Equation" Abstract and Applied Analysis, vol. 2012, Article ID 715981, 15 pages, 2012. doi:10.1155/2012/715981.

  8. "Asymptotic behavior of n-th order dynamic equations " (coauthors: E.Lynn, A.Peterson) Nonlinear Dyn. Syst. Theory, 2012, 12, no.1, 63-80.

  9. "On Dirac equation on a time scale", Copyright 2011 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The article appeared in J. of Math. Physics, 2011, 52, 102701 (16 pages) and may be found at http://link.aip.org/link/?JMP/52/102701

  10. "On nonautonomous Dirac equation" (coauthor: Wen Liu), Copyright 2009 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The article appeared in J. of Math. Physics, 2009, 50, 123507 (24 pages) and may be found at http://link.aip.org/link/?JMP/50/123507

  11. "Stability inequalities for one-dimensional singular perturbation problems."Nonlinear Stud. 2008,15,297- 322 (coauthor: R. Vulanovic)

  12. "WKB estimates for 2 x 2 Linear Dynamic Systems on Time Scales" . Advances in Difference Equations. 2008. Vol.2008, 12 pages, doi:10.1155/2008/712913.

  13. "Levinson Theorem for 2 x 2 System and Applications to the Asymptotic Stability and Schrodinger Equation”. International Journal of Evolution Equations, 2007, 3:2, pp181-203

  14. "Asymptotic Stability for 2 x 2 Linear Dynamic Systems on Time Scales.” International Journal of Difference Equations, 2007, Volume 2, Issue 1.

  15. "Asymptotic stability and asymptotic solutions of second-order differential equations," Journal of Mathematical Analysis and Applications. 2007, Volume 327, Issue 1, p 47-62

  16. "Asymptotic stability for dynamic equations on time scales," Advances in Difference Equations (2006) vol. 2006, Article ID 18157

  17. "A posteriori error estimates for one-dimensional convections-diffusion problems," Computers and Mathematics with Applications, 2006, 51, 915-926 (coauthor R. Vulanovic)

  18. Error estimates for asymptotic solutions of dynamic equations on time scales, Proceedings of the MSU-UAB Conference 2005. Electron. J. Diff. Equations. Conference 15, 2007

  19. Asymptotic stability for second-order differential equations with complex coefficients," Electron. J. Diff. Eqns., Vol. 2004 (2004), No. 85, pp. 1-20.

  20. "Dynamical energy and loss in dispersive/dissipative dielectrics," Chapter 9 of Focus on Lasers and Electro-Optics Research, Nova Science Publishers,2004. (coauthors C. Broadbent, M. Clayton,S.A. Glasgow,J. Peatross)

  21. "Reversible and Irreversible Processes in Dispersive/Dissipative Media: Electro-Magnetic Free Energy and Heat Production," UWSP 6, Plenum, pp. 131-142, 2003 (coauthors C. Broadbent,S.A. Glasgow, M. Clayton, J. Peatross)

  22. "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) (coauthor E. Taroyan).

  23. "Adiabatic invariant for a linear oscillator in external field." "Izv. NAN Armenii, Matematika, English translation: Journal of Contemporary Math. Analysis -(Armenian Academy of Sciences) 33(1998), no.6 70-75 (2000) (coauthor E. Taroyan)

  24. "Asymptotic 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.

  25. "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. "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. "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. "JWKB Estimates and Weighted Cauchy Problems for Singular on Initial Hyper Plane Partial Differential equations."-- Bull.Polish Acad. Science. Math. 1991, v. 26, no. 1--2, pp.31---38.
  29. "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. "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. "An integral of the normal curvature and Plancherel's formula in 3 – dimensional complex integral geometry." Preprint N 149, Keldysh Inst. of Appl. Math. Acad. Of Sci. USSR, Moscow, 1989, 27 pp.(co-authors: Airapetian R.G., Graev M. I.,Graev M. M.). Russian.
  32. "Initial value problem for certain singular hyperbolic equations and WKB-estimates for solutions." Differential equations (Minsk). 1989, vol. 25, no. 6, p. 1062--1064 (Russian).
  33. "Plancherel’s formula associated with an admissible complex of straight lines in CPn." 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 (co-authors: Gelfand I. M., Graev M. I., Airapetian R.G.).
  34. "Weighted mean value theorems for the singularly pertubered Laplace equation." Izv. AN Arm. SSR, Matematika, English translation: Soviet Journal of Contemporary Math. Analysis -- (Armenian Academy of Sciences) 1988, Vol.23, no. 4, p. 20--33.
  35. "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. "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. "Plancherel’s 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 (coauthors: Gelfand I. M., Graev M. I., Airapetian R.G.).
  38. "Plancherel’s theorem for an integral transformation associated with a complex of p-planes in CPn and Cn." 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 (coauthors: Gelfand I. M., Graev M. I., Airapetian R.G.).
  39. "Plancherel’s theorem for an integral transformation associated with a complex of p-dimensional planes in CPn." Soviet Math. Dokl. 1983, vol. 27, no.1, pp. 47--50 (coauthors: Gelfand I. M., Graev M. I., Airapetian R.G.).
  40. "Plancherel’s formula for integral transformation associated with a complex of straight lines which intersect algebraic curve in C3 and CP3." Dokl. Armenian Acad. Sci. 1982, vol. 75, no. 1, p.9--15 (Co-authors: Gelfand I.M., Graev M.I., R.Airapetian.).Russian.
  41. "The Cauchy problem well posedness necessary and sufficient conditions for weakly hyperbolic equatons." Izv. AN Arm. SSR, Matematika, English translation: Soviet Journal of Contemporary Math. Analysis -- (Armenian Academy of Sciences) 1981. vol.16, no. 4, p. 48--79.
  42. "Cauchy problem for hyperbolic pseudodoifferential 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 (co-author K. A. Yagdgian).
  43. "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
  44. "The Crofton theorem and the Buffon Silvester problems." Combinatorial principles in stochastic geometry. Armenian Acad. Sci. 1980, p.157--163. (Russian, co-author Grigoryan S.D.).
  45. "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.
  46. "Mixed problems for weakly hyperbolic equations." Dokl. Armenian Acad. Sci. 1977, vol. 65, pp.132-135 (Russian).
  47. "On the method of investigation of Cauchy problem for weakly hyperbolic equations." Proc. of the Conf. on the Part. Diff. Eq. Devoted to I. G. Petrovsky at the 75-th anniversary of his birthday. Moscow Univ. Press, 1978, p. 391-395, (coauthors: H. B. Nersesyan, A.O. Oganesyan).
  48. "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).
  49. "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).
  50. "On the Cauchy problem for weakly hyperbolic equations." Izv. Acad. Nauk Arm. SSR, Matematica, 1974, vol. 9, No. 2, pp 149--165 (Co-author Nersesyan A.B.) (Russian).