Existence and controllability for neutral partial differential inclusions nondenselly defined on a half-line
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Date
2023-01-20
Authors
Thi Van Anh, Nguyen
Bui Thi Hai, Yen
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we study the existence of the integral solution to the neutral functional differential inclusion
d/dt Dyt - ADyt - Lyt ∈ F(t, yt), for a.e. t ∈ J ≔ [0, ∞),
y0 = φ ∈ CE = C([-r, 0]; E), r > 0,
and the controllability of the corresponding neutral inclusion
d/dt Dyt - ADyt - Lyt ∈ F(t, yt) + Bu(t), for a.e. t ∈ J,
y0 - φ ∈ CE,
on a half-line via the nonlinear alternative of Leray-Schauder type for contractive multivalued mappings given by Frigon. We illustrate our results with applications to a neutral partial differential inclusion with diffusion, and to a neutral functional partial differential equation with obstacle constrains.
Description
Keywords
Hille-Yosida operators, Neutral differential inclusions, Multivalued maps, Fixed point arguments, Controllability
Citation
Thi Van Anh, N., & Thi Hai Yen, B. (2023). Existence and controllability for neutral partial differential inclusions nondenselly defined on a half-line. <i>Electronic Journal of Differential Equations, 2023</i>(07), pp. 1-23.