Nonlinear first-order initial and periodic problems in Banach spaces

M. Frigon; D. O'Regan

doi:10.1016/S0893-9659(97)00057-8

Nonlinear first-order initial and periodic problems in Banach spaces

M. Frigon
, D. O'Regan

Mathematics

Université de Montréal

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

12 Citations (Scopus)

Abstract

In this paper, we establish some existence results for periodic and initial value problems for first-order ordinary differential equations in Banach space, where the right member f has a decomposition f = g + h with g and h satisfying, respectively, a compactness and Lipschitz assumptions. Our results extend results of [1].

Original language	English
Pages (from-to)	41-46
Number of pages	6
Journal	Applied Mathematics Letters
Volume	10
Issue number	4
DOIs	https://doi.org/10.1016/S0893-9659(97)00057-8
Publication status	Published - Jul 1997

Keywords

Abstract equations
Cauchy
Nonlinear
Periodic

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10.1016/S0893-9659(97)00057-8

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title = "Nonlinear first-order initial and periodic problems in Banach spaces",

abstract = "In this paper, we establish some existence results for periodic and initial value problems for first-order ordinary differential equations in Banach space, where the right member f has a decomposition f = g + h with g and h satisfying, respectively, a compactness and Lipschitz assumptions. Our results extend results of [1].",

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author = "M. Frigon and D. O'Regan",

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T1 - Nonlinear first-order initial and periodic problems in Banach spaces

AU - Frigon, M.

AU - O'Regan, D.

PY - 1997/7

Y1 - 1997/7

N2 - In this paper, we establish some existence results for periodic and initial value problems for first-order ordinary differential equations in Banach space, where the right member f has a decomposition f = g + h with g and h satisfying, respectively, a compactness and Lipschitz assumptions. Our results extend results of [1].

AB - In this paper, we establish some existence results for periodic and initial value problems for first-order ordinary differential equations in Banach space, where the right member f has a decomposition f = g + h with g and h satisfying, respectively, a compactness and Lipschitz assumptions. Our results extend results of [1].

KW - Abstract equations

KW - Cauchy

KW - Nonlinear

KW - Periodic

UR - https://www.scopus.com/pages/publications/0038949541

U2 - 10.1016/S0893-9659(97)00057-8

DO - 10.1016/S0893-9659(97)00057-8

M3 - Article

AN - SCOPUS:0038949541

SN - 0893-9659

VL - 10

SP - 41

EP - 46

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 4

ER -

Nonlinear first-order initial and periodic problems in Banach spaces

Abstract

Keywords

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