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Oscillation and nonoscillation theorems for second order functional differential equations

โœ Scribed by Kuo-liang Chiou

Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
868 KB
Volume
45
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES

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โœ Chunchao Huang ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 176 KB

New oscillation and nonoscillation theorems are obtained for the second order ลฝ . ลฝ . w . ลฝ. linear differential equation uะ‰ q p t u s 0, where p t g C 0, ฯฑ and p t G 0. ลฝ . w n n q 1 xลฝ Conditions only about the integrals of p t on every interval 2 t , 2 t ns 0 0 . 1, 2, . . . for some fixed t )

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We study the oscillation and nonoscillation for the second order linear impulsive ลฝ . ลฝ . differential equation uะ‰ s yp t u, where p t is an impulsive function defined by ลฝ . ฯฑ ลฝ . p t s ร a โฆ t y t , and we establish a necessary and sufficient condition for ลฝ . oscillation or nonoscillation of th