Results 21 to 30 of about 284,369 (236)
The implicit numerical method for the one-dimensional anomalous subdiffusion equation with a nonlinear source term [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2021 In the paper, the numerical method of solving the one-dimensional subdiffusion equation with the source term is presented. In the approach used, the key role is played by transforming of the partial differential equation into an equivalent integro ...
Marek Błasik
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Conservation laws of some lattice equations [PDF]
Front. Math. China, 8(5) (2013) 1001-16, 2012 We derive infinitely many conservation laws for some multi-dimensionally consistent lattice equations from their Lax pairs. These lattice equations are the Nijhoff-Quispel-Capel equation, lattice Boussinesq equation, lattice nonlinear Schr\"{o}dinger equation, modified lattice Boussinesq equation, Hietarinta's Boussinesq-type equations, Schwarzian ...
arxiv +1 more source
Fractal and Fractional, 2021 This article is mainly devoted to the study of the existence of solutions for second-order abstract non-autonomous integro-differential evolution equations with infinite state-dependent delay.
Shahram Rezapour +4 more
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On $$L_p$$-solvability of stochastic integro-differential equations [PDF]
Stochastics and Partial Differential Equations: Analysis and Computations, 2020 AbstractA class of (possibly) degenerate stochastic integro-differential equations of parabolic type is considered, which includes the Zakai equation in nonlinear filtering for jump diffusions. Existence and uniqueness of the solutions are established in Bessel potential spaces.
István Gyöngy, Sizhou Wu
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On the Reduction of Integro-Differential Equations [PDF]
Transactions of the American Mathematical Society, 1914 which is satisfied by the potential V of an electric field in an isotropic medium, in the so-called " static case " of hysteresis.t By solving this equation, regarded as an integral equation, for V2V, we are led to the differential equation of Poisson to determine V.
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An integro-differential equation [PDF]
Proceedings of the American Mathematical Society, 1980 The vector equation \[ x ′ ( t ) = A ( t ) x ( t ) + ∫ 0 t C ( t , s ) D ( x ( s ) )
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Stability of the spline collocation method for second order Volterra integro‐differential equations
Mathematical Modelling and Analysis, 2004 Numerical stability of the spline collocation method for the 2nd order Volterra integro‐differential equation is investigated and connection between this theory and corresponding theory for the 1st order Volterra integro‐differential equation is ...
M. Tarang
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Accelerating Solutions in Integro-Differential Equations [PDF]
SIAM Journal on Mathematical Analysis, 2011 In this paper, we study the spreading properties of the solutions of an integro-differential equation of the form $u_t=J\ast u-u+f(u).$ We focus on equations with slowly decaying dispersal kernels $J(x)$ which correspond to models of population dynamics with long-distance dispersal events. We prove that for kernels $J$ which decrease to $0$ slower than
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Electronic Journal of Qualitative Theory of Differential Equations, 2008 In this work we consider a partial integro-differential equation. We reformulate it a functional integro-differential equation in a suitable Hilbert space. We apply the method of lines to establish the existence and uniqueness of a strong solution.
Dhirendra Bahuguna, J. Dabas
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 We consider the questions of one value solvability of the inverse problem for a nonlinear partial Fredholm type integro-differential equation of the fourth order with degenerate kernel. The method of degenerate kernel is developed for the case of inverse
Tursun K Yuldashev
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