The Experts below are selected from a list of 12927 Experts worldwide ranked by ideXlab platform
Donal Oregan - One of the best experts on this subject based on the ideXlab platform.
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an Infinite Interval problem arising in circularly symmetric deformations of shallow membrane caps
International Journal of Non-linear Mechanics, 2004Co-Authors: Ravi P. Agarwal, Donal OreganAbstract:Abstract Existence results are presented for singular boundary value problems modelling phenomena which arise in the theory of shallow membrane caps.
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Infinite Interval problems arising in non linear mechanics and non newtonian fluid flows
International Journal of Non-linear Mechanics, 2003Co-Authors: Ravi P. Agarwal, Donal OreganAbstract:Abstract Existence results are presented for second-order boundary value problems on the Infinite Interval modelling phenomena which arise in non-Newtonian fluid theory and in circular membranes.
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Infinite Interval problems modeling phenomena which arise in the theory of plasma and electrical potential theory
Studies in Applied Mathematics, 2003Co-Authors: Ravi P. Agarwal, Donal OreganAbstract:An upper and lower solution approach is presented for boundary value problems on the Infinite Interval. In particular, our theory includes a discussion of a problem which arises in the study of plasma physics, and a problem which arises in determining the electrical potential in an isolated neutral atom.
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singular differential and integral equations with applications
2003Co-Authors: Ravi P. Agarwal, Donal OreganAbstract:Preface. 1: Differential Equations Singular in the Independent Variable. 1.1. Introduction. 1.2. Preliminaries. 1.3. Initial Value Problems. 1.4. Boundary Value Problems. 1.5. Bernstein Nagumo Theory. 1.6. Method of Upper and Lower Solutions. 1.7. Solutions in Weighted Spaces. 1.8. Existence Results Without Growth Restrictions. 1.9. Nonresonant Problems. 1.10. Nonresonant Problems of Limit Circle Type. 1.11. Nonresonant Problems of Dirichlet Type. 1.12. Resonance Problems. 1.13. Infinite Interval Problems I. 1.14. Infinite Interval Problems II. 2: Differential Equations Singular in the Dependent Variable. 2.1. Introduction. 2.2. First Order Initial Value Problems. 2.3. Second Order Initial Value Problems. 2.4. Positone Problems. 2.5. Semipositone Problems. 2.6. Singular Problems. 2.7. An Alternate Theory for Singular Problems. 2.8. Singular Semipositone Type Problems. 2.9. Multiplicity Results for Positone Problems. 2.10. General Problems with Sign Changing Nonlinearities. 2.11. Problems with Nonlinear Boundary Data. 2.12. Problems with Mixed Boundary Data. 2.13. Problems with Nonlinear Left Hand Side. 2.14. Infinite Interval Problems I. 2.15. Infinite Interval Problems II. 3: Singular Integral Equations. 3.1. Introduction. 3.2. Nonsingular Integral Equations. 3.3. Singular Integral Equations with a Special Class of Kernels. 3.4. Singular Integral Equations with General Kernels. 3.5. A New Class of Integral Equations. 3.6. Singular and Nonsingular Volterra Integral Equations. Problems. References. Subject Index.
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non linear boundary value problems on the semi Infinite Interval an upper and lower solution approach
Mathematika, 2002Co-Authors: Ravi P. Agarwal, Donal OreganAbstract:Existence criteria are presented for non-linear boundary value problems on the half line. In particular, the theory includes a problem in the theory of colloids and a problem arising in the unsteady flow of a gas through a semi-Infinite porous medium.
Ravi P. Agarwal - One of the best experts on this subject based on the ideXlab platform.
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upper and lower solution method for nth order bvps on an Infinite Interval
Boundary Value Problems, 2014Co-Authors: Hairong Lian, Junfang Zhao, Ravi P. AgarwalAbstract:This work is devoted to the study of n th-order ordinary differential equations on a half-line with Sturm-Liouville boundary conditions. The existence results of a solution, and triple solutions, are established by employing a generalized version of the upper and lower solution method, the Schauder fixed point theorem, and topological degree theory. In our problem the nonlinearity depends on derivatives, and we allow solutions to be unbounded, which is an extra interesting feature.
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on a multipoint boundary value problem for a fractional order differential inclusion on an Infinite Interval
Advances in Mathematical Physics, 2013Co-Authors: Nemat Nyamoradi, Dumitru Baleanu, Ravi P. AgarwalAbstract:We investigate the existence of solutions for the following multipoint boundary value problem of a fractional order differential inclusion , where is the standard Riemann-Liouville fractional derivative, , satisfies ,??and?? is a set-valued map. Several results are obtained by using suitable fixed point theorems when the right hand side has convex or nonconvex values.
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existence and asymptotic behavior of solutions of a boundary value problem on an Infinite Interval
Mathematical and Computer Modelling, 2005Co-Authors: Ravi P. Agarwal, Octavian G Mustafa, Yu V RogovchenkoAbstract:In this paper, we shall study a boundary value problem on an Infinite Interval involving a semilinear second-order differential equation. Existence result extending recent researches is obtained by using a fixed-point theorem due to Furi and Pera. Asymptotic behavior of solutions and their first-order derivatives at infinity is discussed. Comparison with relevant known results in literature is also made.
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an Infinite Interval problem arising in circularly symmetric deformations of shallow membrane caps
International Journal of Non-linear Mechanics, 2004Co-Authors: Ravi P. Agarwal, Donal OreganAbstract:Abstract Existence results are presented for singular boundary value problems modelling phenomena which arise in the theory of shallow membrane caps.
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Infinite Interval problems arising in non linear mechanics and non newtonian fluid flows
International Journal of Non-linear Mechanics, 2003Co-Authors: Ravi P. Agarwal, Donal OreganAbstract:Abstract Existence results are presented for second-order boundary value problems on the Infinite Interval modelling phenomena which arise in non-Newtonian fluid theory and in circular membranes.
Zhongqing Wang - One of the best experts on this subject based on the ideXlab platform.
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chebyshev rational spectral and pseudospectral methods on a semi Infinite Interval
International Journal for Numerical Methods in Engineering, 2002Co-Authors: Benyu Guo, Jie Shen, Zhongqing WangAbstract:A weighted orthogonal system on the half-line based on the Chebyshev rational functions is introduced. Basic results on Chebyshev rational approximations of several orthogonal projections and interpolations are established. To illustrate the potential of the Chebyshev rational spectral method, a model problem is considered both theoretically and numerically: error estimates for the Chebyshev rational spectral and pseudospectral methods are established; preliminary numerical results agree well with the theoretical estimates and demonstrate the effectiveness of this approach.
Shaoyun Shi - One of the best experts on this subject based on the ideXlab platform.
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existence of multiple positive solutions for m point fractional boundary value problems with p laplacian operator on Infinite Interval
Journal of Applied Mathematics and Computing, 2012Co-Authors: Sihua Liang, Shaoyun ShiAbstract:In this paper we consider the following m-point fractional boundary value problem with p-Laplacian operator on Infinite Interval D γ+ (φp(D α 0+ u(t))) + a(t)f (t,u(t)) = 0, 0
Sihua Liang - One of the best experts on this subject based on the ideXlab platform.
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existence of multiple positive solutions for m point fractional boundary value problems with p laplacian operator on Infinite Interval
Journal of Applied Mathematics and Computing, 2012Co-Authors: Sihua Liang, Shaoyun ShiAbstract:In this paper we consider the following m-point fractional boundary value problem with p-Laplacian operator on Infinite Interval D γ+ (φp(D α 0+ u(t))) + a(t)f (t,u(t)) = 0, 0
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existence of multiple positive solutions for m point fractional boundary value problems on an Infinite Interval
Mathematical and Computer Modelling, 2011Co-Authors: Sihua Liang, Jihui ZhangAbstract:In this paper we consider the following m-point fractional boundary value problem on Infinite Interval D"0"+^@au(t)+a(t)f(t,u(t))=0,0=0, i=1,2,...,m-2 satisfies 0<@?"i"="1^m^-^2@b"i@x"i^@a^-^1<@C(@a). Using a fixed point theorem for operators on a cone, we provide sufficient conditions for the existence of multiple positive solutions to the above boundary value problem. As applications, examples are presented to illustrate the main results.
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existence of three positive solutions of m point boundary value problems for some nonlinear fractional differential equations on an Infinite Interval
Computers & Mathematics With Applications, 2011Co-Authors: Sihua Liang, Jihui ZhangAbstract:In this paper, we investigate the existence of three positive solutions for the following m-point fractional boundary value problem on an Infinite Interval D"0"+^@au(t)+a(t)f(u(t))=0,0=0, i=1,2,...,m-2 satisfies 0<@?"i"="1^m^-^2@b"i@x"i^@a^-^1<@C(@a). The method involves applications of a fixed point theorem due to Leggett-Williams. As applications, examples are presented to illustrate the main results.
