Nonclassical Problem for Ultraparabolic Equation in Abstract Spaces
Nonclassical problem for ultraparabolic equation with nonlocal initial condition with respect to one time variable is studied in abstract Hilbert spaces.
Gia Avalishvili, Mariam Avalishvili
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Chaos prediction in nano-resonators based on nonlocal elasticity theory
By decreasing the thickness of micro- and nano- beams, classical continuum theory is not accurate to predict the static and dynamic response due to the absence of length scale parameter.
Nahvi Hassan, Maleki Mehdi
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A nonlocal problem for loaded partial differential equations of fourth order
A nonlocal problem for the fourth order system of loaded partial differential equations is considered. The questions of a existence unique solution of the considered problem and ways of its construction are investigated.
A.T. Assanova +2 more
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On a Perturbed Dirichlet Problem for a Nonlocal Differential Equation of Kirchhoff Type
We study the existence of positive solutions to the following nonlocal boundary value problem in , on , where , is a Carathéodory function, is a positive continuous function, and is a real parameter. Direct variational methods are used.
G. Anello
semanticscholar +1 more source
SEMILINEAR NONLOCAL DIFFERENTIAL EQUATIONS WITH DELAY TERMS [PDF]
The goal of this paper is to obtain the regularity and the existence of solutions of a retarded semilinear differential equation with nonlocal condition by applying Schauder's fixed point theorem. We con- struct the fundamental solution, establish the Holder continuity results concerning the fundamental solution of its corresponding retarded linear ...
Jin-Mun Jeong, Su Jin Cheon
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CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS IN BANACH SPACE
The aim of the present paper is to prove the existence of solutions of the initial value problem for a nonlinear integro-differential equation of fractional order α ∈ (0, 1) with nonlocal conditions in Banach spaces.
Mohammed S Abdo +2 more
semanticscholar +1 more source
Functional differential equations with nonlocal initial conditions [PDF]
We study the existence, uniqueness, asymptotic properties, and continuous dependence upon data of solutions to a class of abstract nonlocal Cauchy problems. The approach we use is based on the theory of m‐accretive operators and related evolution equations in Banach spaces.
Aizicovici, Sergiu, Gao, Yun
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On Hyperbolic Differential Equation with Periodic Control Initial Condition
The aim of this paper to study the existence solution of some types of hyperbolic differential equation with periodicity of some controls function as nonlocal initial condition for the equation and the technical and used depended on some interest ...
Zainab Abdel Ameer, Sameer Qasim Hasan
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Dynamics of stochastic nonlocal partial differential equations
This paper is concerned with the asymptotic behavior of solutions to nonlocal stochastic partial differential equations with multiplicative and additive noise driven by a standard Brownian motion, respectively. First of all, the stochastic nonlocal differential equations are transformed into their associated conjugated random differential equations, we
Jiaohui Xu, Tomás Caraballo
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Global well-posedness for a nonlocal Gross-Pitaevskii equation with non-zero condition at infinity [PDF]
We study the Gross-Pitaevskii equation involving a nonlocal interaction potential. Our aim is to give sufficient conditions that cover a variety of nonlocal interactions such that the associated Cauchy problem is globally well-posed with non-zero ...
André de Laire +15 more
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