On the construction of a nonnegative solution for one class of Urysohn-type nonlinear integral equations on a semiaxis

DOI10.1007/s11253-011-0492-1zbMath1242.45005OpenAlexW2012861142MaRDI QIDQ765119

A. Kh. Khachatryan, Khachatur A. Khachatryan

Publication date: 19 March 2012

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-011-0492-1

zbMATH Keywords

asymptotic behaviorpositive solutionsUrysohn operatorlocal minorantnoncompact operatorUrysohn-type nonlinear integral equationsWiener-Hopf-Hankel-type linear integral operator

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Asymptotics of solutions to integral equations (45M05) Integral operators (45P05) Positive solutions of integral equations (45M20)

Related Items

On the solvability of a class of nonlinear Urysohn integral equations on the positive half-line

Cites Work

• Application of multiple factorization to convolution-type homogeneous equations
• Existence theorems for nonlinear integral equations of Hammerstein type
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