Results 31 to 40 of about 284,369 (236)
On the perturbation of Volterra integro-differential equations
Applied Mathematics Letters, 2013 Abstract In this work, we will prove that every solution of a perturbed Volterra integro-differential equation can be approximated by a solution of the Volterra integro-differential equation.
Jung, Soon-Mo +2 more
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On a three step crisis integro-differential equation
Advances in Difference Equations, 2019 One of the interesting fractional integro-differential equations is the three step crisis equation which has been reviewed recently. In this paper, we investigate the existence of solutions for a three step crisis fractional integro-differential equation
Dumitru Baleanu +2 more
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Soliton Equations Extracted from the Noncommutative Zero-Curvature Equation [PDF]
Prog.Theor.Phys. 105 (2001) 1045-1057, 2001 We investigate the equation where the commutation relation in 2-dimensional zero-curvature equation composed of the algebra-valued potentials is replaced by the Moyal bracket and the algebra-valued potentials are replaced by the non-algebra-valued ones with two more new variables.
arxiv +1 more source
Axioms, 2022 Multidimensional integro-differential equations are obtained when the unknown function of several independent variable and/or its derivatives appear under an integral sign. When the differentiation or integration operators or both are of fractional order,
Mondher Damak, Zaid Amer Mohammed
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Hypergeometric solutions to Schrödinger equations for the quantum Painlevé equations [PDF]
, 2011 We consider Schr\"odinger equations for the quantum Painlev\'e equations. We present hypergeometric solutions of the Schr\"odinger equations for the quantum Painlev\'e equations, as particular solutions. We also give a representation theoretic correspondence between Hamiltonians of the Schr\"odinger equations for the quantum Painlev\'e equations and ...
arxiv +1 more source
A study on the bilinear equation of the sixth Painlevé transcendents [PDF]
arXiv, 2023 The sixth Painlev\'e equation is a basic equation among the non-linear differential equations with three fixed singularities, corresponding to Gauss's hypergeometric differential equation among the linear differential equations. It is known that 2nd order Fuchsian differential equations with three singular points are reduced to the hypergeometric ...
arxiv
A numerical technique based on operational matrices for solving nonlinear integro-differential equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2014 This paper presents a computational method for solving two types of integro-differential equations, system of nonlinear high order Volterra-Fredholm integro-differential equation(VFIDEs) and nonlinear fractional order integro-differential equations.
A. Golbabai
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On a new class of integro-differential equations [PDF]
Journal of Integral Equations and Applications, 2014 We consider various initial-value problems for ordinary integro-differential equations of first order that are characterized by convolution-terms, where all factors depend on the solutions of the equations. Applications of such problems are descriptions of certain glass-transition phenomena based on mode-coupling theory, for instance.
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Nonautonomous Dynamical Systems, 2016 In [10] the first author used Lyapunov functionals and studied the exponential stability of the zero solution of finite delay Volterra Integro-differential equation. In this paper, we use modified version of the Lyapunov functional that were used in [10]
Raffoul Youssef, Rai Habib
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Abstract and Applied Analysis, 2012 We present a numerical method to solve the linear Fredholm integro-differential equation in reproducing kernel space. A simple algorithm is given to obtain the approximate solutions of the equation. Through the comparison of approximate and true solution,
Xueqin Lv, Yue Gao
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