Periodic problem for an impulsive system of the loaded hyperbolic equations
Date
2018-03-15
Authors
Assanova, Anar
Kadirbayeva, Zhazira
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We consider a periodic problem for a system of the loaded hyperbolic equations with impulse effects. By introducing additional functions, this problem is reduced to an equivalent problem consisting of a family of periodic boundary-value problems of loaded ordinary differential equations with impulse effects and integral relations. We obtain sufficient conditions for the existence of unique solution to the family of periodic boundary-value problems. Conditions of unique solvability of periodic problem are established in terms of initial data.
Description
Keywords
System of loaded hyperbolic equations, Periodic problem, Impulse effects, Solvability
Citation
Assanova, A. T., & Kadirbayeva, Z. M. (2018). Periodic problem for an impulsive system of the loaded hyperbolic equations. <i>Electronic Journal of Differential Equations, 2018</i>(72), pp. 1-8.
Rights
Attribution 4.0 International