Boundary value problems for nonlinear second-order difference equations with impulse.pdf

Appl．Math．Mech．-En91．Ed．30(8)，1045--1054(2009) 1一z Applied DOI：10．1007／s10483-009-081 andMechanics and 2009 (歪)ShanghaiUniversity Springer—Verlag (EnglishEdition) value fornonlinearsecond—orderdifference Boundaryproblems with equationsimpulse+ HuseyinBereketoglu，AydinHuseynov of (DepartmentMathematics，AnkaraUniversity，06100 Tandogan，Ankara，Turkey) (CommunicatedbyXing-nfingGUO) AbstractInthis considera value with boundary paper，we problemimpulse(BVPI) for nonlinearsecond-orderdifference and ofsolutionsof equations．Existenceuniqueness theconsideredBVPIare established． words theorems Key impulseconditions，Green’8function，fixedpoint Chinese Classification0193 Library 2000Mathematics Classification39A10 Subject Introduction differential areabasictoolto the of that Impulsive equations studydynamicsprocesses are to intheir differential has subjectedabruptchanges states．Theoryfo．i mpulsive equations beenmotivatedanumberof outthenamesofafew by appliedproblems．Wbpoint repre- sentative treatmentin examples：COntroltheory[1。．2I．population medicine[4j．and