Results 31 to 40 of about 25,831 (249)
General functional-integral Volterra equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2007 We research the one-valued solvability of the integral Volterra equation of general type with given initial condition. The theorem on the existence and uniqueness of continuous solution, which satisfies the Lipschitz condition on the considered interval ...
T. K. Yuldashev, Zh. A. Artykova
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Bounded, asymptotically stable, and L^{1} solutions of Caputo fractional differential equations [PDF]
Opuscula Mathematica, 2015 The existence of bounded solutions, asymptotically stable solutions, and \(L^1\) solutions of a Caputo fractional differential equation has been studied in this paper.
Muhammad N. Islam
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On the properties of the solution set map to Volterra integral inclusion
, 2017 For the multivalued Volterra integral equation defined in a Banach space, the set of solutions is proved to be $R_\delta$, without auxiliary conditions imposed in Theorem 6 [J. Math. Anal. Appl. 403 (2013), 643-666]. It is shown that the solution set map,
Pietkun, Radosław
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Impulsive perturbations to differential equations: stable/unstable pseudo-manifolds, heteroclinic connections, and flux [PDF]
, 2016 State-dependent time-impulsive perturbations to a two-dimensional autonomous flow with stable and unstable manifolds are analysed by posing in terms of an integral equation which is valid in both forwards- and backwards-time.
Balasuriya, Sanjeeva
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Electronic Journal of Qualitative Theory of Differential Equations, 2018 The paper deals with the study of the existence of solutions of a quadratic integral equation of Volterra–Stieltjes type. We are looking for solutions in the class of real functions continuous and bounded on the real half-axis $\mathbb{R}_+$ and ...
Jozef Banas, Agnieszka Dubiel
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Abstract and Applied Analysis, 2014 Some linear and nonlinear Gamidov type integral inequalities in two variables are established, which can give the explicit bounds on the solutions to a class of Volterra-Fredholm integral equations.
Kelong Cheng, Chunxiang Guo
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On a pseudo-Volterra nonhomogeneous integral equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In this paper the issues of the solvability of a pseudo-Volterra nonhomogeneous integral equation of the second kind are studied. The solution to the corresponding homogeneous equation and the classes of the uniqueness of the solution are found in [1 ...
M.T. Kosmakova +3 more
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On a discussion of Volterra–Fredholm integral equation with discontinuous kernel
Journal of the Egyptian Mathematical Society, 2020 The purpose of this paper is to establish the general solution of a Volterra–Fredholm integral equation with discontinuous kernel in a Banach space. Banach’s fixed point theorem is used to prove the existence and uniqueness of the solution.
M. A. Abdou +2 more
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High Order Methods for a Class of Volterra Integral Equations with Weakly Singular Kernels [PDF]
, 1974 The solution of the Volterra integral equation, \[ ( * )\qquad x(t) = g_1 (t) + \sqrt {t}g_2 (t) + \int _0^t \frac {K(t,s,x(s))} {\sqrt {t - s} } ds, \quad 0 \leqq t \leqq T,\] where $g_1 (t)$, $g_2 (t)$ and $K(t,s,x)$ are smooth functions, can be ...
de Hoog, Frank, Weiss, Richard
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Journal of Taibah University for Science, 2021 In this paper, we consider a generalized triangular norm on matrix and introduce Menger Banach matrix valued spaces. Next, we apply a class of random matrix control functions to investigate the existence, uniqueness and HUR stability of a class of ...
Reza Chaharpashlou +2 more
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