One-parameter family of solutions for one class of Hammerstein nonlinear equations on a half-line

DOI10.1134/S1064562409060222zbMath1186.45006MaRDI QIDQ845512

Khachatur A. Khachatryan

Publication date: 29 January 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

Laplace transformasymptotic behaviorpositive solutionWiener-Hopf integral operatorHammerstein equationinfinitely many solutionsunbounded interval

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Asymptotics of solutions to integral equations (45M05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Theoretical approximation of solutions to integral equations (45L05) Singular nonlinear integral equations (45G05) Positive solutions of integral equations (45M20)

Related Items

On the solvability of one class of nonlinear integral equations in L 1(0,+∞)

Cites Work

• The Wiener-Hopf equation whose kernel is a probability density
• Unnamed Item

This page was built for publication: One-parameter family of solutions for one class of Hammerstein nonlinear equations on a half-line