Results 31 to 40 of about 8,778,307 (358)
A nonlocal eigenvalue problem and the stability of spikes for reaction-diffusion systems with fractional reaction rates [PDF]
, 2003 We consider a nonlocal eigenvalue problem which arises in the study of stability of spike solutions for reaction-diffusion systems with fractional reaction rates such as the Sel'kov model, the Gray-Scott system, the hypercycle Eigen and Schuster ...
Dancer E. N. +11 more
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Demonstratio Mathematica, 2020 The existence of a.e. monotonic solutions for functional quadratic Hammerstein integral equations with the perturbation term is discussed in Orlicz spaces.
M. Metwali
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Existence of the solution to a nonlocal-in-time evolutional problem [PDF]
, 2014 This work is devoted to the study of a nonlocal-in-time evolutional problem for the first order differential equation in Banach space. Our primary approach, although stems from the convenient technique based on the reduction of a nonlocal problem to its ...
Makarov, Volodymyr +2 more
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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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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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Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential [PDF]
, 2016 This paper is concerned with a distributed optimal control problem for a nonlocal phase field model of Cahn-Hilliard type, which is a nonlocal version of a model for two-species phase segregation on an atomic lattice under the presence of diffusion.
Colli, Pierluigi +2 more
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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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Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity [PDF]
, 2009 We study the initial-value problem for a general class of nonlinear nonlocal wave equations arising in one-dimensional nonlocal elasticity. The model involves a convolution integral operator with a general kernel function whose Fourier transform is ...
Duruk, Nilay +3 more
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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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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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