The Experts below are selected from a list of 315 Experts worldwide ranked by ideXlab platform
Ravi P. Agarwal - One of the best experts on this subject based on the ideXlab platform.
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existence of solutions to nonlinear neumann Boundary Value Problems with generalized p laplacian operator
Computers & Mathematics With Applications, 2008Co-Authors: Li Wei, Ravi P. AgarwalAbstract:Using perturbation results on the sums of ranges of nonlinear accretive mappings of Calvert and Gupta [B.D. Calvert, C.P. Gupta, Nonlinear elliptic Boundary Value Problems in L^p-spaces and sums of ranges of accretive operators, Nonlinear Anal. 2 (1978) 1-26], we present some abstract existence results for the solutions of nonlinear Neumann Boundary Value Problems involving the generalized p-Laplacian operator. The equation discussed in this paper and the method used extend and complement some of the previous work.
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positive solutions in the sense of distributions of singular Boundary Value Problems
Proceedings of the American Mathematical Society, 2008Co-Authors: Ravi P. Agarwal, Kanishka Perera, Donal OreganAbstract:We obtain positive solutions in the sense of distributions of singular Boundary Value Problems using perturbation and variational methods.
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maximal regular Boundary Value Problems in banach Valued weighted space
Boundary Value Problems, 2005Co-Authors: Ravi P. Agarwal, Martin Bohner, Veli B ShakhmurovAbstract:This study focuses on nonlocal Boundary Value Problems for elliptic ordinary and partial differential-operator equations of arbitrary order, defined in Banach-Valued function spaces. The region considered here has a varying bound and depends on a certain parameter. Several conditions are obtained that guarantee the maximal regularity and Fredholmness, estimates for the resolvent, and the completeness of the root elements of differential operators generated by the corresponding Boundary Value Problems in Banach-Valued weighted spaces. These results are applied to nonlocal Boundary Value Problems for regular elliptic partial differential equations and systems of anisotropic partial differential equations on cylindrical domain to obtain the algebraic conditions that guarantee the same properties.
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continuous and discrete Boundary Value Problems on the infinite interval existence theory
Mathematika, 2001Co-Authors: Ravi P. Agarwal, Donal OreganAbstract:This paper presents existence criteria for continuous and discrete Boundary Value Problems on the infinite interval, using the notion of upper and lower solution.
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monotone iterative methods for a general class of discrete Boundary Value Problems
Computers & Mathematics With Applications, 1994Co-Authors: P Y H Pang, Ravi P. AgarwalAbstract:Abstract In this paper we shall offer comparison results as well as monotone iterative schemes for the construction of solutions to a very general class of discrete Boundary Value Problems. The discrete system we consider includes in particular the n th order prototype systems, finite as well as infinite discrete delay equations, and discrete integral equations. Further, the Boundary conditions we consider include the initial, terminal, periodic and transport type Problems. Numerical examples illustrating the usefulness of the proposed schemes to a variety of Boundary Value Problems are also included.
Ikram Areeba - One of the best experts on this subject based on the ideXlab platform.
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Green\u27s Functions and Lyapunov Inequalities for Nabla Caputo Boundary Value Problems
DigitalCommons@University of Nebraska - Lincoln, 2018Co-Authors: Ikram AreebaAbstract:Lyapunov inequalities have many applications for studying solutions to Boundary Value Problems. In particular, they can be used to give existence-uniqueness results for certain nonhomogeneous Boundary Value Problems, study the zeros of solutions, and obtain bounds on eigenValues in certain eigenValue Problems. In this work, we will establish uniqueness of solutions to various Boundary Value Problems involving the nabla Caputo fractional difference under a general form of two-point Boundary conditions and give an explicit expression for the Green\u27s functions for these Problems. We will then investigate properties of the Green\u27s functions for specific cases of these Boundary Value Problems. Using these properties, we will develop Lyapunov inequalities for certain nabla Caputo BVPs. Further applications and extensions will be explored, including applications of the Contraction Mapping Theorem to nonlinear versions of the BVPs and a development of Green\u27s functions for a more general linear nabla Caputo fractional operator
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Green\u27s Functions and Lyapunov Inequalities for Nabla Caputo Boundary Value Problems
DigitalCommons@University of Nebraska - Lincoln, 2018Co-Authors: Ikram AreebaAbstract:Lyapunov inequalities have many applications for studying solutions to Boundary Value Problems. In particular, they can be used to give existence-uniqueness results for certain nonhomogeneous Boundary Value Problems, study the zeros of solutions, and obtain bounds on eigenValues in certain eigenValue Problems. In this work, we will establish uniqueness of solutions to various Boundary Value Problems involving the nabla Caputo fractional difference under a general form of two-point Boundary conditions and give an explicit expression for the Green\u27s functions for these Problems. We will then investigate properties of the Green\u27s functions for specific cases of these Boundary Value Problems. Using these properties, we will develop Lyapunov inequalities for certain nabla Caputo BVPs. Further applications and extensions will be explored, including applications of the Contraction Mapping Theorem to nonlinear versions of the BVPs and a development of Green\u27s functions for a more general linear nabla Caputo fractional operator. Adviser: Allan C. Peterso
Warren E Stewart - One of the best experts on this subject based on the ideXlab platform.
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solution of Boundary Value Problems by orthogonal collocation
Chemical Engineering Science, 1995Co-Authors: J V Villadsen, Warren E StewartAbstract:Abstract New collocation methods are given for solving symmetrical Boundary-Value Problems. Orthogonality conditions are used to select the collocation points. The accuracy obtained is comparable to that of least squares or variational methods and the calculations are simpler. Applications are given to one-dimensional eigenValue Problems and to parabolic and elliptic partial differential equations, encountered in Problems of viscous flow, heat transfer and diffusion with chemical reaction.
M L Morgado - One of the best experts on this subject based on the ideXlab platform.
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fractional Boundary Value Problems analysis and numerical methods
Fractional Calculus and Applied Analysis, 2011Co-Authors: Neville J Ford, M L MorgadoAbstract:In this paper we consider nonlinear Boundary Value Problems for differential equations of fractional order α, 0 < α < 1. We study the existence and uniqueness of the solution and extend existing published results. In the last part of the paper we study a class of prototype methods to determine their numerical solution.
A M Encinas - One of the best experts on this subject based on the ideXlab platform.
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solving Boundary Value Problems on networks using equilibrium measures
Journal of Functional Analysis, 2000Co-Authors: E Bendito, A Carmona, A M EncinasAbstract:Abstract The purpose of this paper is to construct solutions of self-adjoint Boundary Value Problems on finite networks. To this end, we obtain explicit expressions of the Green functions for all different Boundary Value Problems. The method consists of reducing each Boundary Value problem either to a Dirichlet problem or to a Poisson equation on a new network closely related with the former Boundary Value problem. In this process we also get an explicit expression of the Poisson kernel for the Dirichlet problem. In all cases, we express the Green function in terms of equilibrium measures solely, which can be obtained as the unique solution of linear programming Problems. In particular, we get analytic expressions of the Green function for the following Problems: the Poisson equation on a distance-regular graph, the Dirichlet problem on an infinite distance-regular graph, and the Neumann problem on a ball of an homogeneous tree.
