Weakly Perturbed Impulsive Boundary-Value Problem for Integrodifferential Systems in the Resonance Case

被引：0

作者：

Bondar I.A. ^{[1
]}

Strakh O.P. ^{[2
]}

机构：

[1] Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkivs’ka Str., 3, Kyiv

[2] Sumy State Pedagogic University, Rimskii-Korsakov Str., 2, Sumy

来源：

Journal of Mathematical Sciences | 2023年 / 274卷 / 1期

关键词：

D O I：

10.1007/s10958-023-06567-y

中图分类号：

学科分类号：

摘要：

We establish conditions for the existence of solutions of weakly perturbed impulsive boundary-value problems for systems of integrodifferential equations and determine the structure of these solutions. The sufficient condition for the existence of solutions of these problems are investigated with the help of the theory of orthoprojectors and pseudoinverse Moore–Penrose matrices. © 2023, Springer Nature Switzerland AG.

引用

页码：13 / 24

页数：11

共 12 条

[1]

Samoilenko A.M., Boichuk O.A., Krivosheya S.A., Boundary-value problems for systems of integrodifferential equations with degenerate kernel, Ukr. Mat. Zh., 48, No. 11, pp. 1576-1579, (1996)

[2]

Boichuk A.A., Samoilenko A.M., Generalized Inverse Operators and Fredholm Boundary Value Problems, VSP, Utrecht (2004), (2016)

[3]

Golovatska I., Weakly perturbed boundary-value problems for systems of integro-differential equations, Tatra Mt. Math. Publ., 54, pp. 61-71, (2013)

[4]

Bondar I., Weakly perturbed boundary-value problems for systems of integro-differential equations with impulsive action, Tatra Mt. Math. Publ., 63, 1, pp. 73-87, (2015)

[5]

Bondar I.A., Ovchar R.F., Bifurcation of solutions of the boundary-value problem for systems of integrodifferential equations with degenerate kernel, Nelin. Kolyv., 20, , No. 4,, pp. 465-476, (2017)

[6]

Bondar I.A., Weakly nonlinear boundary-value problems for systems of impulsive integrodifferential equations, Critical Case of the Second Order, 22, 2, pp. 147-164, (2019)

[7]

Bondar I.A., Nesterenko O.B., Strakh O.P., Weakly perturbed systems of linear integrodynamic equations on time scales, Nelin. Kolyv, 24, pp. 3-16, (2021)

[8]

Azbelev N.V., Maksimov N.P., Rahmatullina L.F., Introduction to Theory of Functional Differential Equations [in Russian], (1991)

[9]

Zettl A., Adjoint and self-adjoint BVP’s with interface conditions, SIAM J. Appl. Math., 16, 4, (1968)

[10]

Bondar I., Weakly perturbed boundary-value problems for systems of integrodifferential equations with impulsive action, Tatra Mt. Math. Publ., 63, 1, pp. 73-87, (2015)

← 1 2 →