Existence of solutions of nonlinear differential equations with ψ-exponential or ψ-ordinary dichotomous linear part in a Banach space | Zendy

Atanaska Georgieva | Zendy; Hristo Kiskinov | Zendy; S. I. Kostadinov | Zendy; Andrey Zahariev | Zendy

Open Access

Existence of solutions of nonlinear differential equations with ψ-exponential or ψ-ordinary dichotomous linear part in a Banach space

Author(s) -

Atanaska Georgieva,

Hristo Kiskinov,

S. I. Kostadinov,

Andrey Zahariev

Publication year - 2014

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2014.1.2

Subject(s) - mathematics , c0 semigroup , banach space , exponential function , nonlinear system , mathematical analysis , linear differential equation , ordinary differential equation , space (punctuation) , exponential dichotomy , pure mathematics , differential equation , linguistics , philosophy , physics , quantum mechanics

In this article we consider nonlinear differential equations with y-exponential and y-ordinary dichotomous linear part in a Banach space. By the help of the fixed point principle of Banach sufficient conditions are found for the existence of y-bounded solutions of these equations on R and R+.

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