Results 51 to 60 of about 466,993 (231)
International Journal of Analysis and Applications, 2019 In this paper, we introduce the notion of Menger probabilistic partial metric space and prove some fixed point theorems in the framework of such spaces. Some examples and an application to Volterra type integral equation are given to support the obtained
Amir Ghanenia +3 more
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On a nonlinear Volterra integral equation
Journal of Differential Equations, 1973 Also note the comments. made on (1.1) in [2]. More recently Eq. (1.1) has been analyzed in [I and 31 under hypotheses related to those of Theorem I. Comparing the present result with the results of [3] we observe the following. In addition to the full hypothesis of Theorem 1 above, certain smoothness conditions were imposed on a(t) and f(i) in [3 ...
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An approximation scheme for optimal control of Volterra integral equations [PDF]
arXiv, 2006 We present and analyze a new method for solving optimal control problems for Volterra integral equations, based on approximating the controlled Volterra integral equations by a sequence of systems of controlled ordinary differential equations. The resulting approximating problems can then be solved by dynamic programming methods for ODE controlled ...
arxiv
Integral equations of Volterra type
Journal of Mathematical Analysis and Applications, 1978 AbstractThe behavior of exact solutions to Volterra linear and non-linear integral equations with negative or positive, monotone kernels is studied. It includes properties such as the number of zeroes, boundedness and monotonicity of the solutions on the infinite interval.
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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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Periodic solutions of Volterra integral equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 1987 Consider the system of equations urn:x-wiley:01611712:media:ijmm793746:ijmm793746-math-0001 and urn:x-wiley:01611712:media:ijmm793746:ijmm793746-math-0002 Existence of continuous periodic solutions of (1) is shown using the resolvent function of the kernel k.
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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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A hybrid method for solving fuzzy Volterra integral equations of separable type kernels
Journal of King Saud University: Science, 2021 The paper deals with the computation of solutions of fuzzy Volterra integral equations with degenerate kernel by applying a hybrid method. The proposed method is built on Laplace transform coupled with Adomian Decomposition Method; Laplace Adomian ...
Aman Ullah +4 more
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Random volterra integral equations
Mathematical and Computer Modelling, 1995 Using the decomposition method, differential and partial differential equations involving stochastic processes have been solved. This paper considers application to random Volterra integral equations.
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