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SCIENTIFIC ARTICLES

Article |01

Factorization of convolution type vector integro-differential equations

(co-author Kh.A. Khachatryan)

The paper investigates a class of convolution type integro-differential equations for vector-functions. Some special factorization methods are used to prove the solvability in several functional spaces.

Journal of Contemporary Mathematical Analysis

June 2008, Volume 43, Issue 3, pp 145-156

Solvability of one class infinite algebraic systems with Teoplitz type matrices

(co-author Kh.A. Khachatryan)

In paper the one class of infinite algebraic equations with almost Teoplitz matrices is considered. By means of special factorization methods different structural existence theorems are proved.

Mathematics in Higher School

2008, Volume 4, Issue 1, pp 34-43

On one nonlinear Hammerstein-Volterra type equation

In paper the inhomogeneous non-linear equation of Hammerstein-Volterra type with the certain kernel is considered. Existence of the positive solution is proved and its asymptotical behaviour in infinite is studied.

Mathematics in Higher School

2008, Volume 4, Issue 2-3, p 41-46

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Article |02

Article |03

Article |04

On the solvability of a nonlinear second-order integro-differential equation with sum-difference kernel on a semiaxis

(co-author Kh.A. Khachatryan)

We consider a class of nonlinear second-order integro-differential equations with sum-difference kernel on a positive semiaxis. By constructing a special factorization of the initial linear integro-differential operator, we prove the existence of a nonnegative, nontrivial, and monotonically increasing solution and determine its asymptotic behavior at infinity. The relevant examples are presented.

Journal of Mathematical Sciences
February 2012, Volume 181, Issue 1, pp 65-77