On the Kolodner-Coffman method for the uniqueness problem of Emden-Fowler BVP

DOI10.1007/BF00946076zbMath0708.34026OpenAlexW1976092700MaRDI QIDQ920259

Man Kam Kwong

Publication date: 1990

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00946076

zbMATH Keywords

Sturm's comparison theoremEmden-Fowler equationalgebra manipulation programKolodner-Coffman methodnonlinear second-order ordinary differential equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (17)

Multiple existence of positive even solutions for a two point boundary value problem on some very narrow possible parameter set ⋮ Uniqueness results for Emden-Fowler boundary value problems ⋮ Multiple solutions of boundary value problems: An elementary approach via the shooting method ⋮ Uniqueness of positive solutions for quasilinear boundary value problems ⋮ Hardy-Sobolev inequalities in half-space and some semilinear elliptic equations with singular coefficients ⋮ Uniqueness of positive radial solutions of superlinear elliptic equations in annuli ⋮ Numerical methods and asymptotic error expansions for the Emden-Fowler equations ⋮ On the unboundedness of the number of solutions of a Dirichlet problem ⋮ Morse index and symmetry-breaking for positive solutions of one-dimensional Hénon type equations ⋮ Uniqueness of positive solutions for Sturm-Liouville boundary value problems ⋮ Uniqueness of Radial Solutions of Semilinear Elliptic Equations ⋮ An identity for a quasilinear ODE and its applications to the uniqueness of solutions of BVPs ⋮ Semilinear elliptic problems in annular domains ⋮ Sturm comparison theorems for second-order delay equations ⋮ Exact multiplicity of positive solutions for a class of semilinear problem. II ⋮ Curves of sign-changing solutions for semilinear equations ⋮ Uniqueness of positive solutions for generalized Laplacian boundary value problems

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Cites Work

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• Symmetry and related properties via the maximum principle
• An introduction to nonlinear boundary value problems
• On the positive of boundary-value problems for a class of nonlinear differential equations
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• On a Class of Nonlinear Second-Order Differential Equations
• Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0
• On the Generalized Emden–Fowler Equation
• Oscillation and Nonoscillation of Solutions of Generalized Emden-Fowler Equations
• A Class of Eigenvalues of the Fine-Structure Constant and Internal Energy Obtained from a Class of Exact Solutions of the Combined Klein-Gordon-Maxwell-Einstein Field Equations
• Note on a Theorem of Nehari
• Heavy rotating string—a nonlinear eigenvalue problem

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