Results 31 to 40 of about 11,284,175 (207)

A Singular Abstract Cauchy Problem [PDF]

open access: yesProceedings of the National Academy of Sciences, 1970
In this note a singular abstract Cauchy problem is considered. A solution is obtained for this problem in terms of a regular abstract Cauchy problem. As an application we obtain a new solution of the initial value problem for a class of singular partial differential equations.
openaire   +4 more sources

Application of measure of noncompactness to a Cauchy problem for fractional differential equations in Banach spaces

open access: yesFractional Calculus and Applied Analysis, 2013
This paper is devoted to study the existence of solutions of a Cauchy type problem for a nonlinear fractional differential equation, via the techniques of measure of noncompactness.
A. Aghajani, E. Pourhadi, J. Trujillo
semanticscholar   +1 more source

The Cauchy problem of the Ward equation

open access: yesJournal of Functional Analysis, 2009
37 pages, no ...
openaire   +3 more sources

A singularly perturbed Cauchy problem

open access: yesJournal of Mathematical Analysis and Applications, 1979
Singular perturbations are considered for the initial value problem for second order hyperbolic equations with a small positive parameter multiplying the second order time derivative term. Thus, in contrast to recent work of de Jager and Geel, the reduced equation is of the same order as the original equation but of a different type.
Richard J. Weinacht, George C. Hsiao
openaire   +2 more sources

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