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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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On the perturbation of Volterra integro-differential equations
Applied Mathematics Letters, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Soon-Mo Jung +2 more
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Some Singular Integro-Differential Equations
Funkcialaj Ekvacioj, 2023 Summary: We are devoted with a singular integro-differential problem. Required conditions on spaces and operators are given guaranteeing existence and uniqueness of solutions. We make use of \textit{W. M. Greenlee}'s idea [Ann. Inst. Fourier 18, No. 2, 135--191 (1968; Zbl 0175.40006)] to rewrite the singular integro-differential problem in a regular ...
Horani, Mohammed Al +2 more
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Boundary element formulations for the numerical solution of two-dimensional diffusion problems with variable coefficients [PDF]
, 2012 This is the post-print version of the final paper published in Computers & Mathematics with Applications. The published article is available from the link below.
Škerget, L +7 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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Finite to infinite steady state solutions, bifurcations of an integro-differential equation [PDF]
, 2011 We consider a bistable integral equation which governs the stationary solutions of a convolution model of solid–solid phase transitions on a circle. We study the bifurcations of the set of the stationary solutions as the diffusion coefficient is varied to ...
Grinfeld, Michael +12 more
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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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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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A rigorous derivation of Smoluchowski's equation in the moderate limit [PDF]
, 2004 Smoluchowski’s equation is a macroscopic description of a many particle system with coagulation and shattering interactions. We give a microscopic model of the system from which we derive this equation rigorously.
Klingenberg, C. +2 more
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Local and blowing-up solutions for an integro-differential diffusion equation and system [PDF]
, 2021 In the present paper, the semilinear integro-differential diffusion equation and system with singular in time sources are considered. An analog of Duhamel’s principle for the linear integro-differential diffusion equation is proved.
Torebek, Berikbol, Borikhanov, Meiirkhan
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