Nonlinear singular integral equations in Lebesgue spaces

DOI10.1007/s10958-011-0237-6zbMath1228.45005OpenAlexW1977061478MaRDI QIDQ549510

S. N. Askhabov

Publication date: 18 July 2011

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0237-6

zbMATH Keywords

singular integral equationssingular integral operatormonotone operatornonlinear integral equationBrowder-Minty theoremHammerstein operatorRiesz type integral operatorssingular Hammerstein integral equations

Mathematics Subject Classification ID

Singular nonlinear integral equations (45G05) Integral equations with kernels of Cauchy type (45E05)

Related Items (max. 100)

Nonlinear singular integro-differential equations with an arbitrary parameter ⋮ Positivity conditions for operators with difference kernels in reflexive spaces ⋮ Galerkin finite element method for nonlinear fractional differential equations ⋮ Nonlinear convolution-type equations in Lebesgue spaces

Cites Work

• Some results of analysis of Hammerstein- and Uryson-type equations
• Some recent developments in the theory of nonlinear singular integral equations
• Nonlinear integral equations and systems of Hammerstein type
• Fredholm determinants, differential equations and matrix models
• Some new approaches to the investigation of a system of nonlinear equations of the second kind with singular integrals
• ON EIGENFUNCTIONS OF AN OPERATOR CORRESPONDING TO THE POLES OF THE ANALYTIC CONTINUATION OF THE RESOLVENT THROUGH THE CONTINUOUS SPECTRUM
• Monotonicity Methods for Nonlinear Singular Integral and Integro‐Differential Equations
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