Existence, uniqueness and validation of parameter imbedding equations for nonlinear Fredholm integral equations

DOI10.1016/0362-546X(80)90011-5zbMath0441.45016MaRDI QIDQ3882954

M. E. Lord

Publication date: 1980

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

resolvent kernelinvariant imbedding methodnonlinear Fredholm integral equationPicard successive approximationsparameter imbedding method

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fredholm integral equations (45B05) Theoretical approximation of solutions to integral equations (45L05)

Cites Work

• Imbedding methods for the integral equations for the optimal control of time-lag systems. I: Parameter dependence
• Sobolev type differential equations
• Existence and uniqueness of Sobolev type integrodifferential equations
• Extension of S.L. Sobolev's initial value method to nonlinear integral equations

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