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Existence of solutions to nonlinear first-order PBVPs on time scales

โœ Scribed by Jian-Ping Sun; Wan-Tong Li

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
192 KB
Volume
67
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

In this paper we are concerned with the following nonlinear first-order periodic boundary value problem on time scales

Some new existence criteria of at least one solution are established by using novel inequalities and the well-known Schaefer fixed point theorem.

๐Ÿ“œ SIMILAR VOLUMES

Existence and multiplicity of positive s
Existence and multiplicity of positive solutions to nonlinear first-order PBVPs on time scales
โœ Jian-Ping Sun; Wan-Tong Li ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 250 KB

In this paper, we consider the following nonlinear first-order periodic boundary value problems on time scales Some new existence and multiplicity criteria of positive solutions are established by using several well-known fixed point theorems.

Positive solutions to nonlinear first-or
Positive solutions to nonlinear first-order PBVPs with parameter on time scales
โœ Jian-Ping Sun; Wan-Tong Li ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 617 KB

In this paper we consider the following nonlinear first-order periodic boundary value problem with parameter on a time scale T where ฮป > 0 is a parameter. For suitable ฮป > 0, some existence, multiplicity and nonexistence criteria of positive solutions are established by using well-known results fro

Existence of solutions for first order P
Existence of solutions for first order PBVPs with impulses on time scales
โœ Zongyi Wang; Peixuan Weng ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 296 KB

In this paper, we consider some kind of nonlinear periodic differential equation with impulses on time scales, and give some new criteria for the existence of at least one solution by using differential inequalities and fixed point theorems.