Title of article
On oscillatory solutions of quasilinear differential equations
Author/Authors
Giovanna Bonfanti، نويسنده , , Fabio Luterotti، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2006
Pages
13
From page
108
To page
120
Abstract
Necessary and sufficient conditions for the existence of at least one oscillatory solution of a
second-order quasilinear differential equation are presented. These results yield also new conditions
guaranteeing the coexistence of oscillatory and nonoscillatory solutions. Our approach is based on
the asymptotic representation of solutions by means of a periodic function and of a suitable zerocounting
function.
© 2005 Elsevier Inc. All rights reserved.
Keywords
Second-order quasilinear differential equation , Oscillatory solution , Nonoscillatory solution , Asymptotic representation
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2006
Journal title
Journal of Mathematical Analysis and Applications
Record number
934625
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