Singular discrete problem arising in the theory of shallow membrane caps

DOI10.1080/10236190701843371zbMath1158.39012OpenAlexW2083469026MaRDI QIDQ3514855

Lukáš Rachůnek, Irena Rachůnková

Publication date: 23 July 2008

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190701843371

zbMATH Keywords

convergenceexistenceapproximationpositive solutionboundary value problemBrouwer fixed point theoremrational difference equationlower and upper functionssingular mixed discrete BVPshallow membrane caps

Mathematics Subject Classification ID

Membranes (74K15) Discrete version of topics in analysis (39A12) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Multiplicative and other generalized difference equations (39A20)

Related Items (6)

On four types of solutions of a second-order difference equation ⋮ Homoclinic solutions of non-autonomous difference equations arising in hydrodynamics ⋮ Approximation of differential problems with singularities and time discontinuities ⋮ On a homoclinic point of an autonomous second-order difference equation ⋮ Strictly increasing solutions of nonautonomous difference equations arising in hydrodynamics ⋮ Reverse-order lower and upper functions for periodic problems of second-order singular difference equations

Cites Work

• Unnamed Item
• Unnamed Item
• On a singular boundary value problem arising in the theory of shallow membrane caps
• Positive periodic solutions for nonlinear difference equations with periodic coefficients
• On the existence of positive solutions of \(p\)-Laplacian difference equations.
• Boundary value problems for systems of difference equations associated with systems of second-order ordinary differential equations
• Singular discrete boundary value problems
• Singular and nonsingular boundary value problems with sign changing nonlinearities
• The nonexistence of spurious solutions to discrete, two-point boundary value problems
• Difference equations associated with fully nonlinear boundary value problems for second order ordinary differential equations
• Solvability of discrete Dirichlet problem via lower and upper functions method
• Positive Solutions of Three-point Nonlinear Discrete Second Order Boundary Value Problem
• Periodic solutions of difference equations
• Difference Equations Associated with Boundary Value Problems for Second Order Nonlinear Ordinary Differential Equations
• Criteria for Existence and Nonexistence of Positive Solutions to a Discrete Periodic Boundary Value Problem
• The existence of solutions for second-order difference equations
• Singular discrete second order BVPs withp-Laplacian

This page was built for publication: Singular discrete problem arising in the theory of shallow membrane caps