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Nonoscillatory Solutions of Second-Order Differential Equations without Monotonicity Assumptions
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-16
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The continuability, boundedness, monotonicity, and asymptotic properties of nonoscillatory solutions for a class of second-order nonlinear differential equations [p(t)h(x(t))f(x′(t))]′=q(t)g(x(t)) are discussed without monotonicity assumption for function g.
It is proved that all solutions can be extended to infinity, are eventually monotonic, and can be classified into disjoint classes that are fully characterized in terms of several integral conditions.
Moreover, necessary and sufficient conditions for the existence of solutions in each class and for the boundedness of all solutions are established.
American Psychological Association (APA)
Wang, Lianwen& McKee, Rhonda. 2012. Nonoscillatory Solutions of Second-Order Differential Equations without Monotonicity Assumptions. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1028811
Modern Language Association (MLA)
Wang, Lianwen& McKee, Rhonda. Nonoscillatory Solutions of Second-Order Differential Equations without Monotonicity Assumptions. Journal of Applied Mathematics No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-1028811
American Medical Association (AMA)
Wang, Lianwen& McKee, Rhonda. Nonoscillatory Solutions of Second-Order Differential Equations without Monotonicity Assumptions. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1028811
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028811