Results 31 to 40 of about 1,725,128 (187)
Treatment of a generalized scalar differential equation: analysis and explicit solution
Frontiers in PhysicsObtaining a solution of a given SDE is essential in neuroscience, especially, in modeling transmission of nerve impulses between neurons through myelin substance. This paper analyzes a particular scalar differential equation (SDE).
Laila F. Seddek +3 more
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Ulam Stability of n-th Order Delay Integro-Differential Equations
Mathematics, 2021 In this paper, the Ulam stability of an n-th order delay integro-differential equation is given. Firstly, the existence and uniqueness theorem of a solution for the delay integro-differential equation is obtained using a Lipschitz condition and the ...
Shuyi Wang, Fanwei Meng
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Five-dimensional Monopole Equation with Hedge-Hog Ansatz and Abel's Differential Equation
, 2011 We review the generalized monopole in the five-dimensional Euclidean space. A numerical solution with the Hedge-Hog ansatz is studied. The Bogomol'nyi equation becomes a second order autonomous non-linear differential equation.
A. M. Polyakov +6 more
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Difference–Differential Equations [PDF]
Nature, 1948 THE general linear homogeneous difference–differential equation with constant coefficients is where 0 ⩽ μ ⩽m, 0⩽ν ⩽ n, y(ν)(t) is the ν-th derivative of the unknown function y (t) and 0 = b0 bm, if amn≠ 0. (2) Was first given by Hilb8, but under conditions which would exclude most of the applications.
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, 1997 Correlation functions of exactly solvable models can be described by differential equation [Barough, McCoy, Wu]. In this paper we show that for non free fermionic case differential equations should be replaced by integro-differential equations.
Kojima, T., Korepin, V., Slavnov, N.
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Probabilistic Representations of Solutions of the Forward Equations [PDF]
, 2007 In this paper we prove a stochastic representation for solutions of the evolution equation $ \partial_t \psi_t = {1/2}L^*\psi_t $ where $ L^* $ is the formal adjoint of an elliptic second order differential operator with smooth coefficients corresponding
Rajeev, B., Thangavelu, S.
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Penalization method for a nonlinear Neumann PDE via weak solutions of reflected SDEs
, 2013 In this paper we prove an approximation result for the viscosity solution of a system of semi-linear partial differential equations with continuous coefficients and nonlinear Neumann boundary condition. The approximation we use is based on a penalization
Bahlali, Khaled +2 more
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A singular functional-differential equation
International Journal of Mathematics and Mathematical Sciences, 1982 The representation of the Hardy-Lebesque space by means of the shift operator is used to prove an existence theorem for a singular functional-differential equation which yields, as a corollary, the well known theory of Frobenius for second order ...
P. D. Siafarikas
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Front motion for phase transitions in systems with memory
, 2000 We consider the Allen-Cahn equations with memory (a partial integro-differential convolution equation). The prototype kernels are exponentially decreasing functions of time and they reduce the integrodifferential equation to a hyperbolic one, the damped ...
Aizicovici +17 more
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Oscillation Analysis Algorithm for Nonlinear Second-Order Neutral Differential Equations
Mathematics, 2023 Differential equations are useful mathematical tools for solving complex problems. Differential equations include ordinary and partial differential equations.
Liang Song, Shaodong Chen, Guoxin Wang
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