Oscillation criteria for boundary value problems of high-order partial functional differential equations

被引：7

作者：

Wang, Peiguang ^{[1
]}

Wu, Yonghong

Caccetta, Lou

机构：

[1] Hebei Univ, Coll Elect & Informat Engn, Baoding 071002, Peoples R China

[2] Curtin Univ Technol, Western Australian Ctr Excellence Ind Optimizat, Perth, WA 6845, Australia

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 206卷 / 01期

关键词：

oscillation; partial functional differential equations; boundary value problem; distributed deviating arguments;

D O I：

10.1016/j.cam.2006.08.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a class of boundary value problems associated with high-order partial functional differential equations with distributed deviating arguments is investigated. Some oscillation criteria of solutions to the problem are developed. Our approach is to reduce the multi-dimensional oscillation problem to a one-dimensional oscillation one by employing some integral means of solutions and introducing some parameter functions. One illustrative example is considered. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：567 / 577

页数：11

共 20 条

[1] Bainov D.D., 1991, Oscillation Theory for Neutral Differential Equations with Delay
[2] Hardy GH., 1988, Inequalities
[3] Kiguradze I.T., 1964, Mat. Sb. (N.S.), V65, P172
[4] KREITH K, 1985, HIROSHIMA MATH J, V15, P437
[5] LALLI BS, 1994, INDIAN J PURE AP MAT, V25, P387
[6] OSCILLATIONS OF CERTAIN PARTIAL-DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS
LALLI, BS
YU, YH
CUI, BT
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1992, 46 (03) : 373 - 380
[7] OSCILLATION OF THE SOLUTIONS OF PARABOLIC DIFFERENTIAL-EQUATIONS OF NEUTRAL TYPE
MISHEV, DP
BAINOV, DD
[J]. APPLIED MATHEMATICS AND COMPUTATION, 1988, 28 (02) : 97 - 111
[8] MISHEV DP, 1986, HIROSHIMA MATH J, V16, P77
[9] Philos C., 1981, Bull. Acad. Polon. Sci. Ser. Sci. Math, V39, P61
[10] Vladimirov V. S., 1971, Equations of Mathematical Physics

← 1 2 →