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Hypothesis on the Solvability of Parabolic Equations with nonlocal Condition
Nonlinear Analysis, 2002 Numerous and different nonlocal conditions for the solvability of parabolic equations were researched in many articles and reports. The article presented analyzes such conditions imposed, and observes that the existence and uniqueness of the solution of ...
Mifodijus Sapagovas
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Mathematics, 2021 The fractional stochastic differential equations had many applications in interpreting many events and phenomena of life, and the nonlocal conditions describe numerous problems in physics and finance.
A. M. A. El-Sayed, Hoda A. Fouad
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Nullity of the second order discrete problem with nonlocal multipoint boundary conditions
Lietuvos Matematikos Rinkinys, 2015 In this paper, we investigate several second order discrete problems with non-local multipoint boundary conditions and present obtained results about their nullity.
Gailė Paukštaitė, Artūras Štikonas
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NOVASINERGIA, 2022 In this paper, we prove the exact controllability of semilinear retarded equations with infinity delay, impulses and nonlocal conditions; proving the conjecture that the controllability is preserve under the influence of
Steven Allauca, Hugo Leiva
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Axioms, 2023 In this paper, we introduce the Crowley–Martin functional response and nonlocal competition into a reaction–diffusion immunosuppressive infection model.
Yuan Xue, Jinli Xu, Yuting Ding
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Diffusion with nonlocal boundary conditions
Journal of Functional Analysis, 2016 We consider second order differential operators $A_ $ on a bounded, Dirichlet regular set $ \subset \mathbb{R}^d$, subject to the nonlocal boundary conditions \[ u(z) = \int_ u(x)\, (z, dx)\quad \mbox{for } z \in \partial . \] Here the function $ : \partial \to \mathscr{M}^+( )$ is $ (\mathscr{M} ( ), C_b( ))$-continuous with $0\leq (z,
Arendt, Wolfgang +2 more
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Controllability of time varying semilinear non-instantaneous impulsive systems with delay, and nonlocal conditions [PDF]
Archives of Control Sciences, 2022 In this paper we prove the exact controllability of a time varying semilinear system considering non-instantaneous impulses, delay, and nonlocal conditions occurring simultaneously.
Dalia Cabada +3 more
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Nonlocal evolution inclusions under weak conditions [PDF]
Advances in Difference Equations, 2018 The authors investigate evolution inclusions given by multivalued perturbations of \(m\)-dissipative operators with nonlocal initial conditions. The system has the form \[ \dot{y}(s)\in Ay(s)+F(s,y(s)),\, s\in I=[t_0,T],\, y_0(t_0)=g(y(\cdot)), \] where \(A:D(A)\subset X\rightrightarrows X\) is a \(m\)-dissipative operator, \(F:I\times X ...
Shamas Bilal +4 more
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Diffusion with nonlocal Robin boundary conditions [PDF]
Journal of the Mathematical Society of Japan, 2018 Revision based on the comments of the referee; final ...
ARENDT, Wolfgang +2 more
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On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions
Boundary Value Problems, 2007 A generalization of the comparison principle for a semilinear and a quasilinear parabolic equations with nonlocal boundary conditions including changing sign kernels is obtained.
Yuandi Wang, Hamdi Zorgati
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