Next Article in Journal
Thermo-Diffusion and Multislip Effects on MHD Mixed Convection Unsteady Flow of Micropolar Nanofluid over a Shrinking/Stretching Sheet with Radiation in the Presence of Heat Source
Next Article in Special Issue
Lie Symmetry Analysis, Explicit Solutions and Conservation Laws of a Spatially Two-Dimensional Burgers–Huxley Equation
Previous Article in Journal
An Integrated MCDM Approach to Train Derailment Risk Response Strategy Selection
Open AccessArticle

Impulsive Evolution Equations with Causal Operators

1
Department of Mathematics, International Islamic University, Sector H-10 Islamabad, Pakistan
2
Department of Mathematics, Texas A&M University–Kingville, Kingsville, TX 78363, USA
3
Department of Mathematics, Constantin Brancusi University, Republicii 1, 210152 Targu-Jiu, Romania
4
School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, H91 TK33 Galway, Ireland
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(1), 48; https://doi.org/10.3390/sym12010048
Received: 6 November 2019 / Revised: 20 December 2019 / Accepted: 20 December 2019 / Published: 25 December 2019
In this paper, we establish sufficient conditions for the existence of mild solutions for certain impulsive evolution differential equations with causal operators in separable Banach spaces. We rely on the existence of mild solutions for the strongly continuous semigroups theory, the measure of noncompactness and the Schauder fixed point theorem. We consider the impulsive integro-differential evolutions equation and impulsive reaction diffusion equations (which could include symmetric kernels) as applications to illustrate our main results. View Full-Text
Keywords: impulsive evolution equation; measure of noncompactness; existence result impulsive evolution equation; measure of noncompactness; existence result
MDPI and ACS Style

Jabeen, T.; Agarwal, R.P.; Lupulescu, V.; O’Regan, D. Impulsive Evolution Equations with Causal Operators. Symmetry 2020, 12, 48. https://doi.org/10.3390/sym12010048

AMA Style

Jabeen T, Agarwal RP, Lupulescu V, O’Regan D. Impulsive Evolution Equations with Causal Operators. Symmetry. 2020; 12(1):48. https://doi.org/10.3390/sym12010048

Chicago/Turabian Style

Jabeen, Tahira; Agarwal, Ravi P.; Lupulescu, Vasile; O’Regan, Donal. 2020. "Impulsive Evolution Equations with Causal Operators" Symmetry 12, no. 1: 48. https://doi.org/10.3390/sym12010048

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop