Upper and lower solutions method for regular singular differential equations with quasi-derivative boundary conditions

DOI10.1016/J.CNSNS.2012.03.027zbMath1267.34047OpenAlexW2062042424MaRDI QIDQ1948182

Ravi P. Agarwal, Amit Kumar Verma

Publication date: 2 May 2013

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2012.03.027

zbMATH Keywords

lower and upper solutionsmonotone iterative techniqueregular singular pointpseudo derivativequasi derivative

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (4)

Anti-periodic boundary value problems of fractional differential equations with the Riemann-Liouville fractional derivative ⋮ An explicit representation of the three-point Hermite interpolant for the numerical solution of singular boundary value problems ⋮ Singular nonlinear three point BVPs arising in thermal explosion in a cylindrical reactor ⋮ Maximum and anti-maximum principles for three point SBVPs and nonlinear three point SBVPs

Cites Work

• The monotone iterative method and zeros of Bessel functions for nonlinear singular derivative dependent BVP in the presence of upper and lower solutions
• A note on existence-uniqueness results for a class of doubly singular boundary value problems
• On solvability of derivative dependent doubly singular boundary value problems
• On the existence of solutions of a class of singular nonlinear two-point boundary value problems
• Positive solutions for a class of nonlinear singular boundary value problems at resonance
• Regular approximation of singular second-order differential expressions.
• A constructive monotone iterative method for second-order BVP in the presence of lower and upper solutions
• Some new results for singular problems with sign changing nonlinearities
• Monotone method for singular BVP in the presence of upper and lower solutions
• Two-point boundary value problems. Lower and upper solutions
• Numerical Methods for Singular Boundary Value Problems
• Positive Solutions of Singular Sublinear Dirichlet Boundary Value Problems
• Nonlinear singular Sturm–Liouville problems
• Existence, upper and lower solutions and quasilinearization for singular differential equations

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