Oscillatory Properties of Solutions of Generalized Emden-Fowler Equations

被引：0
|
作者：
Koplatadze, R. [1 ]
机构：
[1] Tbilisi State Univ, Dept Math I Javakhishvili, GE-0186 Tbilisi, Georgia
来源：
DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATI ONS | 2013年 / 47卷
关键词：
Oscillation; Functional differential equations; Property B; FUNCTIONAL-DIFFERENTIAL EQUATIONS;
D O I：
10.1007/978-1-4614-7333-6_4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work deals with the study of oscillatory properties of solutions of the equation u((n))(t)+ p(t) vertical bar u(sigma(t))vertical bar(mu(t)) sign u(sigma(t)) = 0, where p is an element of L-loc(R+; R-), mu is an element of C(R+; (0,+infinity)), sigma is an element of C(R+; R+), and sigma(t) >= t for t is an element of R+. In this chapter, new sufficient (necessary and sufficient) conditions for essentially nonlinear functional differential equations to have Property B are established.
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页码：45 / 62
页数：18
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