Results 41 to 50 of about 60,181 (231)
Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations [PDF]
, 2010 We study the initial-value problem for a general class of nonlinear nonlocal coupled wave equations. The problem involves convolution operators with kernel functions whose Fourier transforms are nonnegative.
A. Erkip +20 more
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On a first-order differential system with initial and nonlocal boundary conditions
Demonstratio Mathematica, 2022 This paper is devoted to the existence of solutions and the multiplicity of positive solutions of an initial-boundary value problem for a nonlinear first-order differential system with nonlocal conditions.
Ngoc Le Thi Phuong, Long Nguyen Thanh
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Nonlocal gravity. Conceptual aspects and cosmological predictions [PDF]
, 2017 Even if the fundamental action of gravity is local, the corresponding quantum effective action, that includes the effect of quantum fluctuations, is a nonlocal object. These nonlocalities are well understood in the ultraviolet regime but much less in the
Belgacem, Enis +3 more
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Reaction Diffusion Equations with Nonlocal Boundary and Nonlocal Initial Conditions
Journal of Mathematical Analysis and Applications, 1995 The author considers the existence, multiplicity, and asymptotic behavior of solutions for a reaction diffusion equation under nonlocal boundary and nonlocal initial conditions. The main results are the theorems about the existence of multiple solutions for both the time-dependent and the steady-state problems, and that each of the time-dependent ...
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 The boundary value problem for mixed type equation with nonlocal initial conditions in integral form is considered. The main result states that the nonlocal problem is equivalent to the classical boundary value problem for a loaded equation.
Svetlana V Kirichenko
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Journal of Inequalities and Applications, 2020 This paper deals with the finite-approximate controllability for a class of fractional stochastic evolution equations with nonlocal initial conditions in a Hilbert space.
Yonghong Ding, Yongxiang Li
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Nonlinear Volterra delay evolution inclusions subjected to nonlocal initial conditions
Topological Methods in Nonlinear Analysis, 2021 This paper deals with a nonlinear Volterra delay evolution inclusion subjected to a nonlocal implicit initial condition. The evolution inclusion involves an $m$-dissipative operator (possibly multivalued and/or nonlinear) and a noncompact interval. We first consider the evolution inclusion subjected to a local initial condition and prove an existence ...
Yu, Yang-Yang +2 more
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Erratum to: Initial conditions and degrees of freedom of non-local gravity
Journal of High Energy Physics, 2019 The authors did not realize that some of the initial conditions indicated to solve the Cauchy problem in nonlocal systems are not independent, so that the number of initial conditions is reduced from 4 to 2 in the case of the scalar field.
Gianluca Calcagni +2 more
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Stability of well-posed stochastic evolution equation
Heliyon, 2019 The stability of a non-classical stochastic evolution equation with impulsive and nonlocal initial conditions is examined from a general perspective.
S.A. Bishop, S.A. Iyase, H.I. Okagbue
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Nontrivial solutions of boundary value problems for second order functional differential equations [PDF]
, 2015 In this paper we present a theory for the existence of multiple nontrivial solutions for a class of perturbed Hammerstein integral equations. Our methodology, rather than to work directly in cones, is to utilize the theory of fixed point index on affine ...
Calamai, Alessandro, Infante, Gennaro
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