An initial value method for the computation of characteristic values and functions of an integral operator

DOI10.1016/0022-247X(72)90008-XzbMath0209.15704MaRDI QIDQ2543532

Michael A. Golberg

Publication date: 1972

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Integral operators (47G10)

Related Items

An initial value method for the computation of the characteristic values and functions of an integral operator. II, An initial value method for integral operators: I-complex eigenvalues, Critical lengths by numerical integration of the associated Riccati equation to singularity, Initial value methods in the theory of Fredholm integral equations. III: The nonlinear eigenvalue problem, A generalized Rayleigh quotient for eigenvalue problems nonlinear in the parameter, The equivalence of several initial value methods for solving integral equations

Cites Work

• Reduction of Fredholm integral equations to Cauchy systems
• A method for computing eigenvalues of certain Schrödinger-like equations
• Invariant imbedding and the calculation of eigenvalues for Sturm- Liouville systems
• Reduction of the Dirichlet problem to an initial value problem
• A proposal for the calculation of characteristic functions for certain differential and integral operators via initial-value methods
• An Initial-Value Theory for Fredholm Integral Equations With Semidegenerate Kernels