Results 31 to 40 of about 48,064 (258)
Distributed optimal control of a nonstandard nonlocal phase field system [PDF]
, 2016 We investigate a distributed optimal control problem for a nonlocal phase field model of viscous Cahn-Hilliard type. The model constitutes a nonlocal version of a model for two-species phase segregation on an atomic lattice under the presence of ...
Colli, Pierluigi +2 more
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Software to compute infinitesimal symmetries of exterior differenial systems, with applications [PDF]
, 1989 A description is given of a software package to compute symmetries of partial differential equations, using computer algebra. As an application, the computation of higher-order symmetries of the classical Boussinesq equation is given leading to the ...
AC Hearn +17 more
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SEMILINEAR NONLOCAL DIFFERENTIAL EQUATIONS WITH DELAY TERMS [PDF]
Journal of the Korean Mathematical Society, 2013 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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Functional differential equations with nonlocal initial conditions [PDF]
International Journal of Stochastic Analysis, 1996 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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Form Invariance of Differential Equations in General Relativity [PDF]
, 1997 Einstein equations for several matter sources in Robertson-Walker and Bianchi I type metrics, are shown to reduce to a kind of second order nonlinear ordinary differential equation $\ddot{y}+\alpha f(y)\dot{y}+\beta f(y)\int{f(y) dy}+\gamma f(y)=0$. Also,
Chimento, Luis P.
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Dynamics of stochastic nonlocal partial differential equations
The European Physical Journal Plus, 2021 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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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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Nonlocal Symmetries for Time-Dependent Order Differential Equations [PDF]
Symmetry, 2018 A new type of ordinary differential equation is introduced and discussed, namely, the time-dependent order ordinary differential equations. These equations can be solved via fractional calculus and are mapped into Volterra integral equations of second kind with singular integrable kernel. The solutions of the time-dependent order differential equations
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On Hyperbolic Differential Equation with Periodic Control Initial Condition
Wasit Journal of Computer and Mathematics Science, 2022 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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Second order systems with nonlinear nonlocal boundary conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2018 This paper is concerned with the second order differential equation with not necessarily linear nonlocal boundary condition. The existence of solutions is obtained using the properties of the Leray–Schauder degree. The results generalize and improve some
Jean Mawhin +2 more
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