Note on the existence of periodic solutions of a class of systems of differential-difference equations

被引:3
作者
Diblik, Josef [1 ,2 ]
Iricanin, Bratislav [3 ]
Stevic, Stevo [4 ,5 ]
Smarda, Zdenek [2 ]
机构
[1] Brno Univ Technol, Fac Civil Engn, Dept Math & Descript Geometry, Brno 60200, Czech Republic
[2] Brno Univ Technol, Fac Elect Engn & Commun, Dept Mathematics, Brno 61600, Czech Republic
[3] Univ Belgrade, Fac Elect Engn, Beograd 11000, Serbia
[4] Serbian Acad Sci, Math Inst, Beograd 11000, Serbia
[5] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
关键词
Systems of differential-difference equations; Periodic solutions; NEUTRAL TYPE; DEVIATING ARGUMENT; BOUNDED SOLUTIONS;
D O I
10.1016/j.amc.2014.01.104
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove a result on the existence of periodic solutions of a class of systems of differential-difference equations partially solved with respect to the first-order derivative by constructing it in a form of a series. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码:922 / 928
页数:7
相关论文
共 21 条
[1]  
Diblik J., 1985, PUBL I MATH, V37, P73
[2]  
Diblik J., 1985, SBORNIK VUT, V1-, P5
[3]  
Diblik J., 1984, DEMONSTRATIO MATH, V17, P1031
[4]  
Diblik J., 1982, SIBERIAN MATH J, V23, P80
[5]   Periodic solutions of first order functional differential equations [J].
Graef, John R. ;
Kong, Lingju .
APPLIED MATHEMATICS LETTERS, 2011, 24 (12) :1981-1985
[6]   PERIODIC AND ASYMPTOTICALLY PERIODIC SOLUTIONS OF SYSTEMS OF DIFFERENTIAL-DIFFERENCE EQUATIONS OF NEUTRAL TYPE [J].
Kachurivs'kyi, R. I. ;
Pelyukh, H. P. .
NONLINEAR OSCILLATIONS, 2011, 14 (01) :44-55
[7]  
Kachurivskyi R.I., 2009, ZB PR I MAT NATS AKA, V6, P400
[8]  
Kurbatov V G., 1990, LINEAR DIFFERENTIAL
[9]   Positive periodic solutions of delay differential equations [J].
Olach, Rudolf .
APPLIED MATHEMATICS LETTERS, 2013, 26 (12) :1141-1145
[10]  
Pelyukh G.P., 2002, NONLINEAR OSCIL, V5, P53, DOI DOI 10.1023/A:1014652927323