Results 41 to 50 of about 503,688 (304)
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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Memory kernel reconstruction problems in the integro‐differential equation of rigid heat conductor
Mathematical methods in the applied sciences, 2020 The inverse problems of determining the energy–temperature relation α(t) and the heat conduction relation k(t) functions in the one‐dimensional integro‐differential heat equation are investigated.
D. Durdiev, Z. Zhumaev
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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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On Some Operators Involving Hadamard Derivatives [PDF]
, 2013 In this paper we introduce a novel Mittag--Leffler-type function and study its properties in relation to some integro-differential operators involving Hadamard fractional derivatives or Hyper-Bessel-type operators.
Garra, Roberto, Polito, Federico
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, 2020 It is important that we increase our ability for studying of complicate fractional integro-differential equation. In this paper, we investigates the existence of solutions for a pointwise defined multi-singular fractional differential equation under some
M. Talaee +3 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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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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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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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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