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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com


Boundary Controllability of Semilinear Impulsive Sobolev-type Neutral Integrodifferential System with Timevarying Delays in Banach Space

Discontinuity, Nonlinearity, and Complexity 12(4) (2023) 917--933 | DOI:10.5890/DNC.2023.12.015

B. Radhakrishnan, P. Chandru

Department of Mathematics, PSG College of Technology, Tamil Nadu, 641 004, India

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Abstract

In this article, sufficient conditions for the boundary controllability of semilinear impulsive Sobolev-type neutral integrodifferential functional evolution systems with timevarying delays in Banach spaces have been established. The results are obtained by using two-parameter family of evolution operators and fixed point theorem. An example is provided to illustrate the theory.

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