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A nonlinear Abel equation on the whole line

✍ Scribed by W. Mydlarczyk

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
72 KB
Volume
45
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Positive solutions to a nonlinear abel-t
Positive solutions to a nonlinear abel-type integral equation on the whole line
✍ W. Mydlarczyk; W. OkrasiΕ„ski πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 449 KB

consider the existence of positive solutions to the nonlinear integral equation / 5 U(Z) = Jl: -sY'&(s)) ds, (x E R, a 2 1)s where g is a continuous, nondecreasing function such that g(0) = 0. We show that the equation always has nontrivial solutions and we give a necessary and sufficient condition

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The existence problem for a nonlinear Abel equation on the half-line
✍ W. Mydlarczyk πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 231 KB

We discuss a nonlinear Abel equation on the half-line (-∞, c), c > 0. The basic results provide criteria for the existence of nontrivial everywhere positive solutions. They are expressed in terms of the generalized Osgood condition.

Aspects of the behaviour of solutions of
Aspects of the behaviour of solutions of nonlinear Abel equations
✍ M.R. Arias; R. Benı́tez πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 110 KB

In this paper we study properties about the behaviour (uniqueness, locally boundedness, attracting behaviour, etc.) of positive solutions for nonlinear Abel integral equations and we present examples of nonlinear Abel integral equations with two nontrivial solutions. These examples are related to th