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Positive solutions for a nonlinear differential equation on a measure chain

โœ Scribed by L Erbe; A Peterson

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
727 KB
Volume
32
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

we are concerned with proving the existence of positive solutions of general two point boundary value problems for the nonlinear equation k(t) := -[r(t)zA(t)lA = f(t, z(t)).

We will use fixed point theorems concerning cones in a Banach space. Important results concerning Green's functions for general two point boundary value problems for Lx(t) := -[r(t)zA(t)lA = 0 will also be given.

๐Ÿ“œ SIMILAR VOLUMES

On the Existence of Positive Solutions o
On the Existence of Positive Solutions of a Singular Nonlinear Differential Equation
โœ S. Masmoudi; N. Yazidi ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 112 KB

We consider the nonlinear singular differential equation where ยต and ฯƒ are two positive Radon measures on 0 ฯ‰ not charging points. For a regular function f and under some hypotheses on A, we prove the existence of an infinite number of nonnegative solutions. Our approach is based on the use of the