Periodic boundary value problems of impulsive differential equations with piecewise constant argument

Acta Scientiarum Naturalium Universitatis Normalis Hunanensis

Volumn 25, Issue 3, 2002, Pages 5-9

  Li, Jian li ^a   Shen, Jian hua ^a  

^a HUNAN NORMAL UNIVERSITY   (China)

Author keywords

Impulse; Periodic boundary value problem; Piecewise constant argument; Upper and lower solution method

Indexed keywords

BOUNDARY CONDITIONS; PIECEWISE LINEAR TECHNIQUES;

PIECEWISE CONSTANT;

DIFFERENTIAL EQUATIONS;

EQUATION;

EID: 0036768686     PISSN: 10002537     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. LAKSHMIKANTHAM V, BAINOV D D, SIMEONOV P S S. Theory of impulsive differential equations[M]. Singapore: World Scientific, 1989.
2. AFTABIZADEH A R, WIENER JOSEPH, XU JIANMING. Oscillatory and periodic solutions of delay differential equations with piecewise constant argument[J]. Proceeding of the American Mathematical Society, 1987, 99:673-679.
3. YUBO CHEN, HU SHOUCHUAN. PBVP of volterra integra-differential equations[J]. Applicable Analysis, 1986, 22(1) : 133-137.
4. ZHANG FENCQIN. PBVP of first order nonlinear differential equations with constant argument[J]. J Math, 1993, 13(1) : 64-69.
5. YAN CHANGXIANG, GE WEIGAO. PBVP of first order mixed impulsive differential equations[J]. Appl Math,2001, 14(1) : 110-115.
6. WEI ZHONG LI. Existence of solutions for PVBP of second order impulsive integra-differential equations of mixed type[J]. Acta Mathematica Sinica, 1996, 39(4):531-539.
7. LI YONG, ZHOU QIN-DE. Periodic solutions to ordinary differential equations with impulses[J]. Science in China, Series A, 1993, 36 (7):778-790.
8. WANG, H, On the existence of positive solutions for semilinear elliptic equations in the Annulus[J]. J Diff Eqns, 1994, 109:1-8.
9. DRUMI BAINOV, PAVEL SIMEONOV. Impulsive differential equations: periodic solutions and applications[M]. Harlow: Longman Scientific and Technical, 1993.
10. GUO DAJUN, SUN JINGXIAN, LIU ZHAOLI. Functional method of nonlinear ordinary differential equations[M]. Shandong: Scientific Press of Shandong, 1995.