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Triple Positive Solutions of Fourth-Order Four-Point Boundary Value Problems for -Laplacian Dynamic Equations on Time Scales  [cached]
Feng Mei-Qiang,Li Xiang-Gui,Ge Wei-Gao
Advances in Difference Equations , 2008,
Abstract: A new triple fixed-point theorem is applied to investigate the existence of at least triple positive solutions of fourth-order four-point boundary value problems for -Laplacian dynamic equations on a time scale. The interesting point is that we choose an inversion technique employed by Avery and Peterson in 1998.
Multiple Positive Solutions of a Nonlinear Four-Point Singular Boundary Value Problem with a -Laplacian Operator on Time Scales  [cached]
Hong Shihuang
Boundary Value Problems , 2009,
Abstract: We present sufficient conditions for the existence of at least twin or triple positive solutions of a nonlinear four-point singular boundary value problem with a -Laplacian dynamic equation on a time scale. Our results are obtained via some new multiple fixed point theorems.
Multiple Positive Solutions of a Nonlinear Four-Point Singular Boundary Value Problem with a p-Laplacian Operator on Time Scales  [cached]
Shihuang Hong
Boundary Value Problems , 2009, DOI: 10.1155/2009/103276
Abstract: We present sufficient conditions for the existence of at least twin or triple positive solutions of a nonlinear four-point singular boundary value problem with a p-Laplacian dynamic equation on a time scale. Our results are obtained via some new multiple fixed point theorems.
Triple Positive Solutions of Fourth-Order Four-Point Boundary Value Problems for p-Laplacian Dynamic Equations on Time Scales
Mei-Qiang Feng,Xiang-Gui Li,Wei-Gao Ge
Advances in Difference Equations , 2008, DOI: 10.1155/2008/496078
Abstract: A new triple fixed-point theorem is applied to investigate the existence of at least triple positive solutions of fourth-order four-point boundary value problems for p-Laplacian dynamic equations on a time scale. The interesting point is that we choose an inversion technique employed by Avery and Peterson in 1998.
Twin Positive Solutions of a Nonlinear -Point Boundary Value Problem for Third-Order -Laplacian Dynamic Equations on Time Scales
Wei Han,Guang Zhang
Discrete Dynamics in Nature and Society , 2008, DOI: 10.1155/2008/257680
Abstract: Several existence theorems of twin positive solutions are established for a nonlinear -point boundary value problem of third-order -Laplacian dynamic equations on time scales by using a fixed point theorem. We present two theorems and four corollaries which generalize the results of related literature. As an application, an example to demonstrate our results is given. The obtained conditions are different from some known results.
Existence of Positive Solutions for Multipoint Boundary Value Problem with -Laplacian on Time Scales  [cached]
Zhang Meng,Sun Shurong,Han Zhenlai
Advances in Difference Equations , 2009,
Abstract: We consider the existence of positive solutions for a class of second-order multi-point boundary value problem with -Laplacian on time scales. By using the well-known Krasnosel'ski's fixed-point theorem, some new existence criteria for positive solutions of the boundary value problem are presented. As an application, an example is given to illustrate the main results.
Existence of Solutions for Nonlinear Four-Point -Laplacian Boundary Value Problems on Time Scales  [cached]
Topal SGulsan,Ozen OBatit,Cetin Erbil
Advances in Difference Equations , 2009,
Abstract: We are concerned with proving the existence of positive solutions of a nonlinear second-order four-point boundary value problem with a -Laplacian operator on time scales. The proofs are based on the fixed point theorems concerning cones in a Banach space. Existence result for -Laplacian boundary value problem is also given by the monotone method.
Existence of Solutions for Nonlinear Four-Point p-Laplacian Boundary Value Problems on Time Scales  [cached]
S. Gulsan Topal,O. Batit Ozen,Erbil Cetin
Advances in Difference Equations , 2009, DOI: 10.1155/2009/123565
Abstract: We are concerned with proving the existence of positive solutions of a nonlinear second-order four-point boundary value problem with a p-Laplacian operator on time scales. The proofs are based on the fixed point theorems concerning cones in a Banach space. Existence result for p-Laplacian boundary value problem is also given by the monotone method.
Existence of Positive Solutions in Generalized Boundary Value Problem for -Laplacian Dynamic Equations on Time Scales  [cached]
Zhong Wenyong,Lin Wei
Advances in Difference Equations , 2009,
Abstract: We analytically establish the conditions for the existence of at least two or three positive solutions in the generalized -point boundary value problem for the -Laplacian dynamic equations on time scales by means of the Avery-Henderson fixed point theorem and the five functionals fixed point theorem. Furthermore, we illustrate the possible application of our analytical results with a concrete and nontrivial dynamic equation on specific time scales.
Existence of Positive Solutions in Generalized Boundary Value Problem for p-Laplacian Dynamic Equations on Time Scales  [cached]
Wenyong Zhong,Wei Lin
Advances in Difference Equations , 2009, DOI: 10.1155/2009/848191
Abstract: We analytically establish the conditions for the existence of at least two or three positive solutions in the generalized m-point boundary value problem for the p-Laplacian dynamic equations on time scales by means of the Avery-Henderson fixed point theorem and the five functionals fixed point theorem. Furthermore, we illustrate the possible application of our analytical results with a concrete and nontrivial dynamic equation on specific time scales.
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