Results 11 to 20 of about 3,298 (223)
Fredholm-Volterra integral equation with potential kernel
International Journal of Mathematics and Mathematical Sciences, 2001 A method is used to solve the Fredholm-Volterra integral equation of the first kind in the space L2(Ω)×C(0,T), Ω={(x,y):x2+y2≤a}, z=0, and ...
M. A. Abdou, A. A. El-Bary
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Solvability of an Integral Equation of Volterra-Wiener-Hopf Type
Abstract and Applied Analysis, 2014 The paper presents results concerning the solvability of a nonlinear integral equation of Volterra-Stieltjes type. We show that under some assumptions that equation has a continuous and bounded solution defined on the interval 0,∞ and having a finite ...
Nurgali K. Ashirbayev +2 more
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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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Mixed type of Fredholm-Volterra integral equation
Le Matematiche, 2005 In this paper, under certain conditions, the solution of mixed type of Fredholm-Volterra integral equation is discussed and obtained in the space L_2 (−1, 1) × C[0, T ], T < ∞.
M. A. Abdou, G. M. Abd Al-Kader
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Solving one pseudo-Volterra integral equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In this paper, we study the solvability of a second - kind pseudo-Volterra integral equation. By replacing the right - hand side and the unknown function, the integral equation is reduced to an integral equation, the kernel of which is not «compressible»
M.T. Kosmakova +4 more
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Solvability of a Volterra–Stieltjes integral equation in the class of functions having limits at infinity [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2017 The paper is devoted to the study of the solvability of a nonlinear Volterra–Stieltjes integral equation in the class of real functions defined, bounded and continuous on the real half-axis $\mathbb{R}_+$ and having finite limits at infinity.
Jozef Banas, Agnieszka Dubiel
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On the Analysis of Numerical Methods for Nonstandard Volterra Integral Equation
Abstract and Applied Analysis, 2014 We consider the numerical solutions of a class of nonlinear (nonstandard) Volterra integral equation. We prove the existence and uniqueness of the one point collocation solutions and the solution by the repeated trapezoidal rule for the nonlinear ...
H. S. Mamba, M. Khumalo
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A Product Integral Solution of a Stieltjes-Volterra Integral Equation [PDF]
Proceedings of the American Mathematical Society, 1970 This paper demonstrates that the theory of Stieltjes-Volterra integral equations may be subsumed in Mac Nerney’s general integral equation theory by making suitable choices of linear spaces and sets of operators.
James A. Reneke
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Cascade-Forward Neural Network for Volterra Integral Equation Solution
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2021 The method of solving volterra integral equation by using numerical solution is a simple operation but to require many memory space to compute and save the operation.
Shymaa Akram Hantoush Alrubaie
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Singular Volterra integral equations
Applied Mathematics Letters, 2000 The authors study the existence of a nonnegative solution to the Volterra integral equation \[ y(t) = h(t)+ \int_0^t k(t,s)f(s,y(s)) ds,\quad t\in [0,T], \] where the nonlinearity \(f(t,y)\) may be singular at \(y=0\). The assumptions used are such that they easily get a result on the existence of a solution of the singular initial value problem \(y ...
Agarwal, R.P., O'Regan, D.
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