THREE POSITIVE PERIODIC SOLUTIONS FOR DYNAMIC EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT AND IMPULSE ON TIME SCALES*
Glasgow mathematical journal, Tome 53 (2011) no. 2, pp. 369-377
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In this paper, by using the Leggett–Williams fixed point theorem, the existence of three positive periodic solutions for differential equations with piecewise constant argument and impulse on time scales is investigated. Some easily verifiable sufficient criteria are established. Finally, an example is given to illustrate the results.
LI, YONGKUN; XU, ERLIANG. THREE POSITIVE PERIODIC SOLUTIONS FOR DYNAMIC EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT AND IMPULSE ON TIME SCALES*. Glasgow mathematical journal, Tome 53 (2011) no. 2, pp. 369-377. doi: 10.1017/S0017089510000790
@article{10_1017_S0017089510000790,
author = {LI, YONGKUN and XU, ERLIANG},
title = {THREE {POSITIVE} {PERIODIC} {SOLUTIONS} {FOR} {DYNAMIC} {EQUATIONS} {WITH} {PIECEWISE} {CONSTANT} {ARGUMENT} {AND} {IMPULSE} {ON} {TIME} {SCALES*}},
journal = {Glasgow mathematical journal},
pages = {369--377},
year = {2011},
volume = {53},
number = {2},
doi = {10.1017/S0017089510000790},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000790/}
}
TY - JOUR AU - LI, YONGKUN AU - XU, ERLIANG TI - THREE POSITIVE PERIODIC SOLUTIONS FOR DYNAMIC EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT AND IMPULSE ON TIME SCALES* JO - Glasgow mathematical journal PY - 2011 SP - 369 EP - 377 VL - 53 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000790/ DO - 10.1017/S0017089510000790 ID - 10_1017_S0017089510000790 ER -
%0 Journal Article %A LI, YONGKUN %A XU, ERLIANG %T THREE POSITIVE PERIODIC SOLUTIONS FOR DYNAMIC EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT AND IMPULSE ON TIME SCALES* %J Glasgow mathematical journal %D 2011 %P 369-377 %V 53 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000790/ %R 10.1017/S0017089510000790 %F 10_1017_S0017089510000790
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