Results 21 to 30 of about 10,094 (209)
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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An ordinary integro-differential equation with a degenerate kernel and an integral condition
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 We consider the questions of one value solvability of the nonlocal boundary value problem for a nonlinear ordinary integro-differential equation with a degenerate kernel and a reflective argument.
Tursun K Yuldashev
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Oscillations of integro-differential equations
Differential and Integral Equations, 1991 The integro-differential inequality (1) \(\dot y(t)+\int^ t_ 0 K(t- s)y(s)ds\leq 0\), \(t\geq T\) and the corresponding integro-differential equation (2) \(\dot y(t)+\int^ t_ 0 K(t-s)y(s)ds=0\), \(t\geq T\) are considered. Sufficient conditions, under which no positive solution of (1) exists, and necessary and sufficient conditions for existence of a ...
Ladas, G., Philos, Ch. G., Sficas, Y. G.
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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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Bounded and multiperiodic solutions of the system of partial integro-differential equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 The system of partial integro - differential equations with an operator of differentiation with respect to directions of vector field is considered. The considering integro - differential equation does not contain space variables.
G.M. Aitenova +3 more
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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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Stability of an integro-differential equation
Computers & Mathematics with Applications, 2009 AbstractIn this work we study a scalar integro-differential equation and give some new conditions ensuring that the zero solution is asymptotically stable by means of the fixed-point theory. Our work extends and improves the results in the literature.
Chuhua Jin, Jiaowan Luo
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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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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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