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Strong Maximum Principles for Parabolic Nonlinear Problems With Nonlocal Inequalities Together With Integrals
In  and , the author studied strong maximum principles for nonlinear parabolic problems with initial and nonlocal inequalities, respectively. Our purpose here is to extend results in  and  to strong maximum ...
Uniqueness Criterion for Solution of Abstract Nonlocal Cauchy Problem
The aim of the paper is to prove an uniqueness criterion for a solution of an abstract nonlocal Cauchy problem. A dissipative operator in the nonlocal problem and an arbitrary functional in the nonlocal condition are ...
Existence of Approximate Solution to Abstract Nonlocal Cauchy Problem
The aim of the paper is to prove a theorem about the existence of an approximate solution to an abstract nonlinear nonlocal Cauchy problem in a Banach space. The right-hand side of the nonlocal condition belongs to a locally ...
Existence of a Solution of a Fourier Nonlocal Quasilinear Parabolic Problem
The aim of this paper is to give a theorem about the existence of a classical solution of a Fourier third nonlocal quasilinear parabolic problem. To prove this theorem, Schauder’s theorem is used. The paper is a continuation ...