Weakly perturbed boundary-value problems for systems of integro-differential equations with impulsive action

Rok, strany: 2015, 73 - 87

The weakly perturbed BVP's for impulsive integro-differential systems are considered. Under the assumption that the generating problem (for $\varepsilon=0$) does not have solutions on the space $W^{1}_{2}[a,b]$ for some inhomogeneity and using the Vishik-Lyusternik method, we establish conditions for the existence of solutions of these problems on the space $D_{2}\big([a,b]\setminus_{\{\tau_{i}\}_{I}}big)$ in the form of a Laurent series in powers of small parameter $\varepsilon$ with finitely many terms with negative powers of $\varepsilon$, and we suggest an algorithm of construction of these solutions.

ISO 690:

Bondar, I. 2015. Weakly perturbed boundary-value problems for systems of integro-differential equations with impulsive action. In Tatra Mountains Mathematical Publications, vol. 63, no.2, pp. 73-87. 1210-3195.

APA:

Bondar, I. (2015). Weakly perturbed boundary-value problems for systems of integro-differential equations with impulsive action. Tatra Mountains Mathematical Publications, 63(2), 73-87. 1210-3195.