Oscillation of a class of second-order linear impulsive differential equations

被引：2
|
作者：
Tariboon, Jessada [1 ]
Thiramanus, Phollakrit [1 ]
机构：
[1] King Mongkuts Univ Technol, Dept Math, Fac Sci Appl, Bangkok 10800, Thailand
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2012年
关键词：
oscillation; nonoscillation; impulsive differential equation;
D O I：
10.1186/1687-1847-2012-205
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the oscillation of a class of second-order linear impulsive differential equations of the form {(a(t)[x'(t) + lambda x(t)])' + p(t)x(t) = 0, t >= t(0),t not equal t(k), x(t(k)(+)) = b(k)x(t(k)(+)) = c(k)x'(t(k)), k = 1, 2, ... . By using the equivalence transformation and the associated Riccati techniques, some interesting results are obtained.
引用
收藏
页数：12
相关论文
共 50 条
  • [21] Oscillation of second-order differential equations
    Ohriska, Jan
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2013, 82 (01): : 11 - 20
  • [22] Existence of solutions for a class of second-order differential equations with impulsive effects
    Nyamoradi, Nemat
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (18) : 5023 - 5033
  • [23] Oscillation of solutions of second-order linear differential equations and corresponding difference equations
    Bohner, Martin
    Karpenko, Olga
    Stanzhytskyi, Oleksandr
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2014, 20 (07) : 1112 - 1126
  • [24] Oscillation criteria for a class of second-order neutral delay differential equations
    Karpuz, B.
    Manojlovic, J. V.
    Oecalan, Oe.
    Shoukaku, Y.
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 210 (02) : 303 - 312
  • [25] Polynomial solutions for a class of second-order linear differential equations
    Saad, Nasser
    Hall, Richard L.
    Trenton, Victoria A.
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 226 : 615 - 634
  • [26] Oscillation and nonoscillation of second-order half-linear differential equations
    Zhou Y.
    Chen X.W.
    Journal of Mathematical Sciences, 2013, 191 (3) : 377 - 387
  • [27] Oscillation theorems for second-order half-linear differential equations
    Hsu, HB
    Yeh, CC
    APPLIED MATHEMATICS LETTERS, 1996, 9 (06) : 71 - 77
  • [28] On The Oscillation of Second-order Half-linear Delay Differential Equations
    Li, Tongxing
    Han, Zhenlai
    Zhang, Chenghui
    PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 602 - 605
  • [29] Oscillation of damped second-order linear mixed neutral differential equations
    Graef, John R.
    Ozdemir, Orhan
    Kaymaz, Adil
    Tunc, Ercan
    MONATSHEFTE FUR MATHEMATIK, 2021, 194 (01): : 85 - 104
  • [30] OSCILLATION ON FINITE OR INFINITE INTERVALS OF SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS
    WILLETT, D
    CANADIAN MATHEMATICAL BULLETIN, 1971, 14 (04): : 539 - &
12345