An initial value method for the nonlinear integral equation \(F(u(t),t,\lambda)= \lambda \int^{1}_{0} k(t,y,u(y))dy\)

DOI10.1016/0096-3003(83)90033-4zbMath0534.65092OpenAlexW2068729409MaRDI QIDQ790604

Harriet H. Kagiwada, Robert E. Kalaba

Publication date: 1983

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(83)90033-4

zbMATH Keywords

imbedding methodinitial value method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (1)

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Cites Work

• Imbedding methods for the integral equations for the optimal control of time-lag systems. I: Parameter dependence
• Existence and comparison results for differential equations of Sobolev type
• The equivalence of team theory's integral equations and a Cauchy system: Sensitivity analysis of a variational problem
• Imbedding methods for integral equations with applications
• Sobolev type differential equations
• Cooperative dynamic programming
• Extension of S.L. Sobolev's initial value method to nonlinear integral equations

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