Results 21 to 30 of about 321 (77)
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
wiley +1 more source
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
doaj +1 more source
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
wiley +1 more source
Nonincreasing Solutions for Quadratic Integral Equations of Convolution Type
Journal of Mathematics and Applications, 2019 We study a nonlinear quadratic integral equation of Convolution type in the Banach space of real functions defined and continuous on a bounded and closed interval.
W. El-Sayed, A. El-Mowla
semanticscholar +1 more source
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
wiley +1 more source
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
doaj +1 more source
Measures of Noncompactness in a Banach Algebra and Their Applications
, 2017 In this paper we study the existence of solutions of a nonlinear quadratic integral equation of fractional order. This equation is considered in the Banach space of real functions defined, continuous and bounded on the real half axis. Additionally, using
S. Dudek
semanticscholar +1 more source
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
wiley +1 more source
Some properties of the functional equation
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 1, Page 27-44, 1991., 1990 A discussion is given of some of the properties of the functional Volterra Integral equation and of the corresponding multidimensional equation. Sufficient conditions are given for the uniqueness of the solution, and an iterational process is provided for the construction of the solution, together with error estimates.
Li. G. Chambers
wiley +1 more source
On Schr\"odinger's equation, 3-dimensional Bessel bridges, and passage time problems
, 2010 In this work we relate the density of the first-passage time of a Wiener process to a moving boundary with the three dimensional Bessel bridge process and a solution of the heat equation with a moving boundary.
Hernandez-del-Valle, Gerardo
core +1 more source