Nonlinear convolution-type equations in Lebesgue spaces

DOI10.1134/S0001434615050016zbMath1328.45008MaRDI QIDQ745598

S. N. Askhabov

Publication date: 14 October 2015

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

zbMATH Keywords

Carathéodory conditionsMinkowski inequalitypotential-type kernelLebesgue space \(L_{p}(0, 1)\)method of monotone operatorsnonlinear convolution-type integral equation

Mathematics Subject Classification ID

Singular nonlinear integral equations (45G05)

Related Items

Nonlinear singular integro-differential equations with an arbitrary parameter ⋮ Nonlinear integral equations with potential-type kernels in the nonperiodic case ⋮ Integro-differential equation with a sum-difference kernels and power nonlinearity ⋮ Positivity conditions for operators with difference kernels in reflexive spaces ⋮ Nonlinear convolution-type equations in Lebesgue spaces

Cites Work

• Nonlinear singular integral equations in Lebesgue spaces
• Nonlinear convolution-type equations in Lebesgue spaces
• A priori bounds of solutions of the nonlinear integral convolution type equation and their applications
• Some new results about Hammerstein equations
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