01.01.02 (Differential equations, dynamical systems, and optimal control)
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Keywords:
Urysohn's operator,
nonlinear factorization equations,
operator of Winner–Hopf,
condition of Carateodory,
pointwise convergence,
infinite matrix with Teoplitz–Henkel type.
UDC:
517.968
Subject:
Solvability of some classes nonlinear integro-differential equations and its discrete analogies with noncompact Hammerstein and Urysohn integral operators.
Main publications:
Kh. A. Khachatryan and E. A. Khachatryan, “On an Integro-Differential
Equation with Almost Difference Kernel on the Half-Line.”, Differential Equations, 44:7 (2008.), 935-944
Kh. A. Khachatryan, E. A. Khachatryan, “Solvability of some classes of nonlinear integro-differential equations with noncompact operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 1, 91–100; Russian Math. (Iz. VUZ), 55:1 (2011), 79–87
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