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Oscillation of nonlinear functional differential equations of the second order

โœ Scribed by Horng-Jaan Li; Cheh-Chih Yeh

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
327 KB
Volume
11
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

In this paper, we consider the oscillation and nonoscillation of solutions of the second order nonlinear functional differential equation

[ly'(t)l~sgny'(t)]' รทq(t)f(y(g(t)))=O, t_>to>O,

where a > 0 is a constant, q(t) E C([to,~);(0, co)), f(y) C C(R;R), g'(t) > 0 on [t0, c~), and limt~c~ g(t) = co.

๐Ÿ“œ SIMILAR VOLUMES

Oscillation of Certain Second-Order Nonl
Oscillation of Certain Second-Order Nonlinear Differential Equations
โœ Wan-Tong Li ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 165 KB

1 ลฝ ลฝ .. ลฝ . where ) 0 is any quotient of odd integers, a g C R, 0, ฯฑ , q g C R, R , ลฝ . ลฝ . ลฝ . fgC R, R , xf x ) 0, f ะˆ x G 0 for x / 0. Some new sufficient conditions for ลฝ . the oscillation of all solutions of ) are obtained. Several examples that dwell upon the importance of our results are als