Invariant imbedding and generalizations of the WKB method and the Bremmer series

DOI10.1016/0022-247X(74)90167-XzbMath0296.34006MaRDI QIDQ1213544

G. Milton Wing

Publication date: 1974

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

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Fredholm integral equations (45B05)

Related Items (3)

Generalization of the Bremmer coupling series ⋮ Estimates on the first eigenvalue of an integral equation ⋮ Operator theory on the WKB method and Bremmer series

Cites Work

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• Wave propagation and the Bremmer series
• Wave equation with sources, invariant imbedding, and Bremmer series solutions
• Generalizations of the Bremmer series based on physical concepts
• Convergence of the Bremmer Series for the Spatially Inhomogeneous Helmholtz Equation
• Monotoneity Properties of Solutions of Hermitian Riccati Matrix Differential Equations
• The W.K.B. approximation as the first term of a geometric‐optical series

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