×

zbMATH — the first resource for mathematics

On singular perturbations of second order Cauchy problems. (English) Zbl 0743.34063
Using an explicit formula for the solution of a complete second order linear Cauchy problem in a Banach space the author obtains an estimate for the asymptotic growth of the solutions. These estimates are applied to singular perturbations of second order Cauchy problems.

MSC:
34G10 Linear differential equations in abstract spaces
34C11 Growth and boundedness of solutions to ordinary differential equations
34D15 Singular perturbations of ordinary differential equations
PDF BibTeX XML Cite
Full Text: DOI