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Applicable Analysis
An International Journal
Volume 72, 1999 - Issue 3-4
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Original Articles

On a nonlinear boundary value problem for fourth order equations

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Pages 439-448 | Received 01 Nov 1998, Published online: 02 May 2007

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John R. Graff & Bo Yang. (2001) Boundary value problems for 2n-th order nonlinear ordinary differential equation. Applicable Analysis 79:3-4, pages 503-517.
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John.R Graef & Bo Yang. (2000) Existnence and nonexistence of positive solutions of fourth order nonlinear boundary value problems. Applicable Analysis 74:1-2, pages 201-214.
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Articles from other publishers (24)

Allaberen Ashyralyev & Ibrahim Mohammed Ibrahım. (2024) High-Order, Accurate Finite Difference Schemes for Fourth-Order Differential Equations. Axioms 13:2, pages 90.
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Yaling Zhou & XueMei Zhang. (2015) Triple positive solutions of fourth-order impulsive differential equations with integral boundary conditions. Boundary Value Problems 2015:1.
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Xuemei Zhang & Meiqiang Feng. (2014) Positive solutions for classes of multi-parameter fourth-order impulsive differential equations with one-dimensional singular p-Laplacian. Boundary Value Problems 2014:1.
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Bessem Samet. (2013) Existence Results for a Coupled System of Nonlinear Fourth-Order Differential Equations. Abstract and Applied Analysis 2013, pages 1-9.
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Panos K. Palamides & Alex P. Palamides. (2012) Fourth-Order Four-Point Boundary Value Problem: A Solutions Funnel Approach. International Journal of Mathematics and Mathematical Sciences 2012, pages 1-18.
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John R. Graef, Lingju Kong, Qingkai Kong & Bo Yang. (2010) Positive Solutions to a Fourth Order Boundary Value Problem. Results in Mathematics 59:1-2, pages 141-155.
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Panos K. Palamides & Evgenia H. Papageorgiou. (2011) Approach to a Fifth-Order Boundary Value Problem, via Sperner's Lemma. Applied Mathematics 02:08, pages 993-998.
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Junfang Zhao & Weigao Ge. (2009) Positive solutions for a higher-order four-point boundary value problem with a -Laplacian . Computers & Mathematics with Applications 58:6, pages 1103-1112.
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Fu-Hsiang Wong, Sheng-Ping Wang, Shiueh-Ling Yu & Wei-Cheng Lian. (2009) Existence of positive solutions for an -order nonlinear BVP . Computers & Mathematics with Applications 58:3, pages 498-507.
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Alex P. Palamides. (2009) Existence and multiplicity of positive and negative solutions for higher-order multi-point Sturm-Liouville boundary value problems. Differential Equations and Dynamical Systems 16:1-2, pages 121-143.
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Chuanzhi Bai, Dandan Yang & Hongbo Zhu. (2007) Existence of solutions for fourth order differential equation with four-point boundary conditions. Applied Mathematics Letters 20:11, pages 1131-1136.
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Shiueh-Ling Yu, Fu-Hsiang Wong, Cheh-Chih Yeh & Shang-Wen Lin. (2007) Existence of positive solutions for order -Laplacian BVP . Computers & Mathematics with Applications 53:9, pages 1367-1379.
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John R. Graef, Lingju Kong & Qingkai Kong. (2007) Symmetric positive solutions of nonlinear boundary value problems. Journal of Mathematical Analysis and Applications 326:2, pages 1310-1327.
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De-xiang Ma, Yu Tian & Wei-gao Ge. (2006) EXISTENCE THEOREMS OF POSITIVE SOLUTIONS FOR A FOURTH-ORDER THREE-POINT BOUNDARY VALUE PROBLEM. Taiwanese Journal of Mathematics 10:6.
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Yuji Liu. (2006) Solutions of two-point boundary value problems for even-order differential equations. Journal of Mathematical Analysis and Applications 323:1, pages 721-740.
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Qin Zhang, Shihua Chen & Jinhu Lü. (2006) Upper and lower solution method for fourth-order four-point boundary value problems. Journal of Computational and Applied Mathematics 196:2, pages 387-393.
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Binggen Zhang & Yuji Liu. (2006) Solutions of Boundary Value Problems for $2n$-Order Differential Equations. Rocky Mountain Journal of Mathematics 36:5.
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Shihua Chen, Wei Ni & Changping Wang. (2006) Positive solution of fourth order ordinary differential equation with four-point boundary conditions. Applied Mathematics Letters 19:2, pages 161-168.
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Yuji Liu, Pinghua Yang & Weigao Ge. (2005) Solutions of two-point BVPs at resonance for higher order impulsive differential equations. Nonlinear Analysis: Theory, Methods & Applications 60:5, pages 887-923.
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Yuji Liu & Weigao Ge. (2005) Positive solutions of two-point boundary value problems for -order differential equations dependent on all derivatives . Applied Mathematics Letters 18:2, pages 209-218.
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Zhimin He & Jianshe Yu. (2005) On the existence of positive solutions of fourth-order difference equations. Applied Mathematics and Computation 161:1, pages 139-148.
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YUJI LIU & WEIGAO GE. (2011) EXISTENCE THEOREMS OF POSITIVE SOLUTIONS FOR FOURTH-ORDER FOUR-POINT BOUNDARY VALUE PROBLEMS. Analysis and Applications 02:01, pages 71-85.
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John R. Graef, Chuanxi Qian & Bo Yang. (2003) A three point boundary value problem for nonlinear fourth order differential equations. Journal of Mathematical Analysis and Applications 287:1, pages 217-233.
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Guoliang Shi & Shaozhu Chen. (2009) Positive solutions of fourth-order superlinear singular boundary value problems. Bulletin of the Australian Mathematical Society 66:1, pages 95-104.
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