Perturbation techniques in related differential equations

DOI10.1016/0022-0396(73)90066-1zbMath0275.34065OpenAlexW2076167356MaRDI QIDQ2265590

J. W. Dettman

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1016/0022-0396(73)90066-1

Mathematics Subject Classification ID

Perturbations, asymptotics of solutions to ordinary differential equations (34E10) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) Differential equations in abstract spaces (34G99)

Related Items (5)

Singular perturbation and boundary layer for an abstract Cauchy problem ⋮ Expansions in terms of generalized helmholtz polynomials and associated functions ⋮ Related solution operators in mathematical physics ⋮ Series expansions of solutions of \(u_{xx}+(2\nu /x)u_ x+\epsilon^ 2u_{tt}=u_ t\) ⋮ Perturbations associated with hypergeometric cauchy problems

Cites Work

• Unnamed Item
• Unnamed Item
• Fractional powers of closed operators and the semigroups generated by them
• Singular perturbations and a theorem of Kisynski
• Degeneration of the solutions of certain well-posed systems of partial differential equations depending on a small parameter
• On operator calculus for related partial differential equations
• On the behavior of the solution of the telegraphist's equation for large velocities
• Singular perturbations of Cauchy's problem
• Ordinary differential equations in linear topological spaces. I
• Semigroups and second-order differential equations
• Singular perturbations for the Cauchy problem and for boundary value problems
• On a connection between first and second order differential equations in Banach spaces
• Singularly perturbed differential equations in a Hilbert space
• Perturbation and approximation theory for higher-order abstract Cauchy problems
• Expansions in Terms of Heat Polynomials and Associated Functions
• Singular perturbations of Cauchy's problem
• Power Series Solutions of Ordinary Differential Equations
• A Class of Related Dirichlet and Initial Value Problems
• Sur les équations hyperboliques avec petit paramètre
• The wave, Laplace, and heat equations and related transforms
• Theory of Random Evolutions with Applications to Partial Differential Equations
• Polynomial expansions of solutions of .
• Series Expansions of Solutions of $U_{xx} + U_{yy} + \varepsilon ^2 U_{tt} = U_t $
• Regular degeneration and boundary layer for linear differential equations with small parameter

This page was built for publication: Perturbation techniques in related differential equations