Proof of the basic invariant imbedding method for Fredholm integral equations with deplacement kernels. I, II

DOI10.1016/S0020-0255(70)80041-XzbMath0209.13501OpenAlexW4254060760MaRDI QIDQ2543516

Robert E. Kalaba, John L. Casti

Publication date: 1970

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-0255(70)80041-x

Mathematics Subject Classification ID

Fredholm integral equations (45B05)

Related Items

A cauchy method for an integral equation of linearized couette flow ⋮ A Cauchy system for the Green's function and the solution of a two-point boundary value problem ⋮ A cauchy system for a class of nonlinear fredholm integral equations ⋮ Reduction of Fredholm integral equations to Cauchy systems ⋮ Invariant imbedding and the solution of Fredholm integral equations with displacement kernels - comparative numerical experiments ⋮ The conversion of Fredholm integral equations to equivalent Cauchy problems ⋮ The conversion of Fredholm integral equations to equivalent Cauchy problems. II: Computation of resolvents ⋮ Invariant imbedding and the numerical determination of Green's functions ⋮ Proof of the basic invariant imbedding method for Fredholm integral equations with deplacement kernels. I, II ⋮ A generalized Rayleigh quotient for eigenvalue problems nonlinear in the parameter

Cites Work

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• Invariant imbedding and a class of variational problems
• Verification of the invariant imbedding method for certain Fredholm integral equations
• The invariant imbedding numerical method for Fredholm integral equations with degenerate kernels
• Derivation and validation of an initial-value method for certain nonlinear two-point boundary-value problems
• Proof of the basic invariant imbedding method for Fredholm integral equations with deplacement kernels. I, II
• Invariant imbedding and the simplest problem in the calculus of variations
• Comparison of Kinetic Theory Analyses of Linearized Couette Flow
• ON THE FUNDAMENTAL EQUATIONS OF INVARIANT IMBEDDING, I
• Integral Equations with Difference Kernels on Finite Intervals
• An initial value method for fredholm integral equations of convolution type^*
• Numerical Solution of a Singular Integral Equation Encountered in Polymer Physics
• Integral equations on a half-line with kernel depending upon the difference of the arguments