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ArticleOriginal scientific text

Title

On positive solutions of a class of second order nonlinear differential equations on the halfline

Authors 1

Affiliations

  1. Department of Mathematical Analysis, Faculty of Science, Palacký University, Tomkova 40, 779 06 Olomouc, Czech Republic

Abstract

The differential equation of the form (q(t)k(u)(u′)a)′=f(t)h(u)u′, a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u'(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.

Keywords

ENG
nonlinear second order differential equation, nonnegative solution, existence and uniqueness of solutions, bounded solution, dependence of solutions on the parameter, boundary value problem on a noncompact interval, Tikhonov-Schauder fixed point theorem

Bibliography

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Annales Polonici Mathematici
1995/62/2
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Pages:
123-142
Main language of publication
English
Received
1994-06-30
Accepted
1994-11-20
Published
1995
Exact and natural sciences