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Applicable Analysis
An International Journal
Volume 28, 1988 - Issue 4
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Original Articles

Existence and nonexistence for a singular boundary value problem

L. E. Bobisud Department of Mathematics and Statistics, University of Idaho, Moscow, 83843, Idaho
,
D. O'Regan Department of Mathematics and Statistics, University of Idaho, Moscow, 83843, Idaho
&
W. D. Royalty Department of Mathematics and Statistics, University of Idaho, Moscow, 83843, Idaho
Pages 245-256 | Received 28 Jan 1987, Published online: 10 May 2007

Citations (24)

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Svatoslav Staněk. (2000) On the existence of nonnegative solutions of singular semi-positone problems. Applicable Analysis 74:3-4, pages 351-362.
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Articles from other publishers (23)

P. S. Kelevedjiev, D. O’Regan, N. Popivanov & R. P. Agarwal. (2010) Existence results for second order boundary value problems using the barrier strip technique. Aequationes mathematicae 79:3, pages 281-291.
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Gernot Pulverer, Svatoslav Staněk & EwaB Weinmüller. (2010) Analysis and Numerical Solutions of Positive and Dead Core Solutions of Singular Sturm-Liouville Problems. Advances in Difference Equations 2010:1, pages 969536.
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Gernot Pulverer, Svatoslav Staněk & Ewa B. Weinmüller. (2010) Analysis and Numerical Solutions of Positive and Dead Core Solutions of Singular Sturm-Liouville Problems. Advances in Difference Equations 2010, pages 1-38.
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Svatoslav Staněk. (2010) Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with ϕ-Laplacian. Advances in Difference Equations 2010, pages 1-18.
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Svatoslav Staněk. (2009) Positive and dead core solutions of singular BVPs for third-order differential equations. Nonlinear Analysis: Theory, Methods & Applications 71:12, pages e153-e163.
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Mingchuan Zhang, Yanmin Yin & Zhongli Wei. (2008) Existence of positive solution for singular semi-positone conjugate -point boundary value problem . Computers & Mathematics with Applications 56:4, pages 1146-1154.
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Ravi P. Agarwal, Donal O’Regan & Svatoslav Staněk. (2008) Dead cores of singular Dirichlet boundary value problems with ϕ-Laplacian. Applications of Mathematics 53:4, pages 381-399.
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Mingchuan Zhang, Yanmin Yin & Zhongli Wei. (2008) Positive solution of singular higher-order m-point boundary value problem with nonlinearity that changes sign. Applied Mathematics and Computation 201:1-2, pages 678-687.
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Qingliu Yao. (2008) Positive solution to a special singular second-order boundary value problem. Mathematical and Computer Modelling 47:11-12, pages 1284-1291.
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R.P. Agarwal, S.R. Grace & D. O'Regan. (2004) Semipositone higher-order differential equations. Applied Mathematics Letters 17:2, pages 201-207.
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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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S. Staněk. (2001) Positive solutions for a class of singular semipositone boundary value problems. Mathematical and Computer Modelling 33:4-5, pages 353-361.
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Ravi P. Agarwal & Donal O’Regan. (1999) A note on existence of nonnegative solutions to singular semi-positone problems. Nonlinear Analysis: Theory, Methods & Applications 36:5, pages 615-622.
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P.J.Y. Wong & R.P. Agarwal. (1998) Singular differential equations with (n,p) boundary conditions. Mathematical and Computer Modelling 28:1, pages 37-44.
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Ravi P. AgarwalRavi P. Agarwal. 1998. Focal Boundary Value Problems for Differential and Difference Equations. Focal Boundary Value Problems for Differential and Difference Equations 1 191 .
P. W. Eloe & J. Henderson. (2006) Existence of Solutions for Some Singular Higher Order Boundary Value Problems. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 73:11, pages 315-323.
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Donal O'Regan. (1991) Solvability of some fourth (and higher) order singular boundary value problems. Journal of Mathematical Analysis and Applications 161:1, pages 78-116.
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Paul W. Eloe & Johnny Henderson. (1991) Singular nonlinear boundary value problems for higher order ordinary differential equations. Nonlinear Analysis: Theory, Methods & Applications 17:1, pages 1-10.
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Donal O'Regan. (1990) Singular second order boundary value problems. Nonlinear Analysis: Theory, Methods & Applications 15:12, pages 1097-1109.
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Donal O'Regan. (1990) Some new results for second order boundary value problems. Journal of Mathematical Analysis and Applications 148:2, pages 548-570.
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L.E. Bobisud. (1990) Asymptotic dead cores for reaction-diffusion equations. Journal of Mathematical Analysis and Applications 147:1, pages 249-262.
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Donal O'Regan. (1990) Fourth (and higher) order singular boundary value problems. Nonlinear Analysis: Theory, Methods & Applications 14:12, pages 1001-1038.
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L.E Bobisud & W.D Royalty. (1989) Approach to a dead core for some reaction-diffusion equations. Journal of Mathematical Analysis and Applications 142:2, pages 542-557.
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