Nonoscillation theory for second order half-linear differential equations in the framework of regular variation

被引：0
作者：
Jaroslav Jaroš
Kusano Takaŝi
Tomoyuki Tanigawa
机构：
[1] Department of Mathematical Analysis, Faculty of Mathematics Physics and Informatics, Comenius University, Bratislava
[2] Department of Applied Mathematics, Faculty of Science, Fukuoka University, 8-19-1 Nanakuma, Jonan-ku, Fukuoka
[3] Department of Mathematics, Toyama National College of Technology, 13 Hongo-cho, Toyama
来源：
Results in Mathematics | 2003年 / 43卷 / 1-2期
关键词：
nonoscillation; regular variation; slowly varying function;
D O I：
10.1007/BF03322729
中图分类号：
学科分类号：
摘要：
Criteria are established for nonoscillation of all solutions of the second order half-linear differential equation (Formula Presented.) where α > 0 is a constant and q: [0, ∞) → ℝ is continuous. The criteria are designed to exhibit the role played by the integral of q(t) in guaranteeing the existence of nonoscillatory solutions of (A) in specific classes of regularly varying functions in the sense of Karamata. © 2003, Birkhäuser Verlag, Basel.
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页码：129 / 149
页数：20
相关论文
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