Results 11 to 20 of about 271 (74)
Discrete Modified Projection Methods for Urysohn Integral Equations with Green's Function Type Kernels [PDF]
, 2019 In the present paper we consider discrete versions of the modified projection methods for solving a Urysohn integral equation with a kernel of the type of Green's function. For $r \geq 0,$ a space of piecewise polynomials of degree $\leq r $ with respect
Kulkarni, Rekha P., Rakshit, Gobinda
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A nonstandard Volterra integral equation on time scales
Demonstratio Mathematica, 2019 This paper introduces the more general result on existence, uniqueness and boundedness for solutions of nonstandard Volterra type integral equation on an arbitrary time scales.
Reinfelds Andrejs, Christian Shraddha
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Numerical approximation for integral equations
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 20, Page 1057-1065, 2004., 2004 A numerical algorithm, based on a decomposition technique, is presented for solving a class of nonlinear integral equations. The scheme is shown to be highly accurate, and only few terms are required to obtain accurate computable solutions.
Elias Deeba, Shishen Xie
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On fuzzy Volterra integral equations with deviating arguments
International Journal of Stochastic Analysis, Volume 2004, Issue 2, Page 169-176, 2004., 2004 We investigate the problem of existence of solutions of fuzzy Volterra integral equations with deviating arguments. The results are obtained by using the Darbo fixed point theorem.
K. Balachandran, P. Prakash
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The dual integral equation method in hydromechanical systems
Journal of Applied Mathematics, Volume 2004, Issue 6, Page 447-460, 2004., 2004 Some hydromechanical systems are investigated by applying the dual integral equation method. In developing this method we suggest from elementary appropriate solutions of Laplace′s equation, in the domain under consideration, the introduction of a potential function which provides useful combinations in cylindrical and spherical coordinates systems ...
N. I. Kavallaris, V. Zisis
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Mass transport problems obtained as limits of p-Laplacian type problems with spatial dependence
Advances in Nonlinear Analysis, 2014 We consider the following problem: given a bounded convex domain Ω⊂ℝN${\Omega \subset \mathbb {R}^N}$ we consider the limit as p → ∞ of solutions to -div(bp-p|Du|p-2Du)=f+-f-${- \operatorname{div} (b_{p}^{-p} |Du|^{p-2} Du)=f_+ - f_-}$ in Ω and bp-p|Du|p-
Mazón José M. +2 more
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Solving some nonlinear equations by successive approximations
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 6, Page 353-358, 2002., 2002 The iterations scheme generated by an infinite sequence of operators satisfying some contractive conditions in a complete metric space is used to solve some integral equations of Hammerstein type.
Albert K. Kalinde
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Volterra and Urysohn integral equations in Banach spaces
International Journal of Stochastic Analysis, Volume 11, Issue 4, Page 449-464, 1998., 1997 We use topological methods to present existence principles and theory for integral equations in Banach spaces.
Donal O′Regan
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Nonautonomous Dynamical Systems, 2018 The purpose of this work is to give sufficient conditions which guarantee the existence and the uniqueness of positive μ-pseudo almost periodic solutions for the nonlinear infinite delay integral equation . We improve the original work of [H. S. Ding, Y.
Ezzinbi Khalil, Ziat Mohamed
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International Journal of Stochastic Analysis, Volume 10, Issue 2, Page 169-178, 1997., 1996 A generalized quasilinear technique is employed to derive iterative schemes for nonlinear Volterra integral equations under various monotonicity and convexity (concavity) conditions on the kernels. The iterates in the schemes are linear, and converge monotonically, uniformly and quadratically to the unique solution.
Sudhakar G. Pandit
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