A semigroup perturbation theorem with application to a singular perturbation problem in nonlinear ordinary differential equations

DOI10.1016/0022-0396(79)90149-9zbMath0365.47020OpenAlexW2039646105MaRDI QIDQ1241711

Robert P. Kertz

Publication date: 1979

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(79)90149-9

zbMATH Keywords

NONLINEAR ORDINARY DIFFERENTIAL EQUATIONSSEMIGROUP PERTURBATION THEOREMSINGULAR PERTURBATION PROBLEM

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Spectrum, resolvent (47A10) Groups and semigroups of linear operators (47D03) General theory of ordinary differential operators (47E05)

Related Items

Differential equations in a Banach space, Limit theorems for semigroups with perturbed generators, with applications to multiscaled random evolutions

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Random evolutions: A survey of results and problems
• Limit theorems for semigroups with perturbed generators, with applications to multiscaled random evolutions
• Extensions of Trotter's operator semigroup approximation theorems
• Topics in singular perturbations
• A limit theorem for perturbed operator semigroups with applications to random evolutions
• Random evolutions are asymptotically gaussian
• Perturbed Semigroup Limit Theorems with Applications to Discontinuous Random Evolutions
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