| POSITIVE SOLUTION TO FOURTH-ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH P-LAPLACIAN |
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| 引用本文： | 蔡果兰,葛渭高. POSITIVE SOLUTION TO FOURTH-ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH P-LAPLACIAN[J]. 数学物理学报(A辑), 2006, 0(Z1) |
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| 作者姓名： | 蔡果兰 葛渭高 |
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| 作者单位： | Department of Mathematics Central University for Nationalities，Beijing 100081，China Department of Mathematics，Beijing Institute of Technology，Beijing 100081，China，Department of Mathematics，Beijing Institute of Technology，Beijing 100081，China |
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| 基金项目： | Supported by the National Natural Foundation of China (10371006)the Youth Teachers Science Projects of Central University for Nationalities (No.A08). |
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| 摘 要： | In order to study three-point BVPs for fourth-order impulsive differential equation of the form with the following boundary conditions u'(0) = u(1) = 0. u"(0) == 0 = u"(1) -φq(α)u"(η). the authors translate the fourth-order impulsive differential equations with p-Laplacian (*) into three-point BVPs for second-order differential equation without impulses and two-point BVPs for second-order impulsive differential equation by a variable transform. Based on it, existence theorems of positive solutions for the boundary value problems (*) are obtained.
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POSITIVE SOLUTION TO FOURTH-ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH P-LAPLACIAN |
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| Cai Guolan Ge Weigao. POSITIVE SOLUTION TO FOURTH-ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH P-LAPLACIAN[J]. Acta Mathematica Scientia, 2006, 0(Z1) |
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| Authors: | Cai Guolan Ge Weigao |
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| Affiliation: | Cai Guolan Ge Weigao Department of Mathematics,Central University for Nationalities,Beijing 100081,China Department of Mathematics,Beijing Institute of Technology,Beijing 100081,China |
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| Abstract: | |
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| Keywords: | Impulsive differential equation BVP P-Laplacian Variable transform. |
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