An Initial-Value Theory for Fredholm Integral Equations With Semidegenerate Kernels

DOI10.1145/321592.321594zbMath0211.47601OpenAlexW2078150528MaRDI QIDQ5612861

Robert E. Kalaba, Harriet H. Kagiwada

Publication date: 1970

Published in: Journal of the ACM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/321592.321594

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Related Items

Cauchy system for Fredholm resolvents with composite displacement kernels, Reduction of a Class of Nonlinear Integral Equations to a Cauchy System, An automatic error-control technique for computation of eigenlengths, New prediction algorithms by covariance information based on innovation theory, New design of linear least-squares fixed-interval smoother using covariance information, Invariant imbedding and Fredholm integral equations with degenerate kernels, Invariant imbedding and the Fredholm integral equation, Reduction of Fredholm integral equations to Cauchy systems, Critical lengths by numerical integration of the associated Riccati equation to singularity, On the integral equation method for buckling loads, Generalized Sobolev's phi function for the resolvent of a Milne-type integral equation with a degenerate kernel, The design of a linear regulator based on an integral-equation representation, Initial-value system for linear smoothing problems by covariance information, On the integral equations of optimal signal detection and estimation theory, On the integral equations of optimal signal detection and estimation theory, An initial value method for the computation of characteristic values and functions of an integral operator, An initial-value method for nonlinear integral equations, Invariant imbedding and the resolvent of Fredholm integral equations with semi-degenerate kernels, An initial-value solution of the least-squares estimation problem with degenerate covariance, Recursive estimation of impulse response function using covariance information in linear continuous stochastic systems, The design of on-line linear least-square estimators given covariance specifications via an imbedding method