ON EXISTENCE OF PROPER SOLUTIONS OF QUASILINEAR SECOND ORDER DIFFERENTIAL EQUATIONS.

Authors :: Bartušek, Miroslav
Pekárková, Eva
Source :: Electronic Journal of Qualitative Theory of Differential Equations. Mar2007, p1-14. 14p.
Publication Year :: 2007
Abstract: In the paper, the nonlinear differential equation (a(t)|y'|p-1y')' + b(t)g(y') + r(t)f(y) = e(t) is studied. Sufficient conditions for the nonexistence of singular solutions of the first and second kind are given. Hence, sufficient conditions for all nontrivial solutions to be proper are derived. Sufficient conditions for the nonexistence of weakly oscillatory solutions are given. [ABSTRACT FROM AUTHOR]

Subjects :: *QUASILINEARIZATION
*NONLINEAR differential equations
*DIFFERENTIAL equations
*NONLINEAR theories
*MATHEMATICS

Language :: English
ISSN :: 14173875
Database :: Academic Search Index
Journal :: Electronic Journal of Qualitative Theory of Differential Equations
Publication Type :: Academic Journal
Accession number :: 25515249
Full Text :: https://doi.org/10.14232/ejqtde.2007.1.5

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