Existence and uniqueness of solutions to first-order systems of nonlinear impulsive boundary-value problems with sub-, super-linear or linear growth

Electronic Journal of Differential Equations

卷:2007

关键词: Existence and uniqueness of solutions;    boundary valueproblems;    impulsive equations;    fixed-point theory;    system of equations;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this work we present some new results concerning the existence anduniqueness of solutions to an impulsive first-order, nonlinear ordinarydifferential equation with "non-periodic" boundary conditions. Theseboundary conditions include, as a special case, so-called "anti-periodic" boundary conditions.Our methods to prove the existence and uniqueness ofsolutions involve new differential inequalities,the classical fixed-point theorem of Schaefer,and the Nonlinear Alternative.Our new results apply to systems of impulsive differentialequations where the right-hand side of the equation may growlinearly, or sub- or super-linearly in its second argument.

【 授权许可】

Unknown