The monotone iterative method and zeros of Bessel functions for nonlinear singular derivative dependent BVP in the presence of upper and lower solutions

DOI10.1016/j.na.2011.04.037zbMath1228.34038OpenAlexW2033466837MaRDI QIDQ550223

Amit Kumar Verma

Publication date: 8 July 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.04.037

zbMATH Keywords

lower and upper solutionsNeumann boundary value problemmonotone iterative techniqueBessel functions

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 (12)

Rigorous enclosures of solutions of Neumann boundary value problems ⋮ Hybrid model for the optimal numerical solution of nonlinear ordinary differential systems ⋮ On some computational aspects of Hermite & Haar wavelets on a class of nonlinear singular BVPs ⋮ Upper and lower solutions method for regular singular differential equations with quasi-derivative boundary conditions ⋮ Picard type iterative scheme with initial iterates in reverse order for a class of nonlinear three point BVPs ⋮ Bessel functions and singular BVPs arising in physiology in the presence of upper and lower solutions in reverse order ⋮ On a monotone iterative method for a class of three point nonlinear nonsingular BVPs with upper and lower solutions in reverse order ⋮ Nonlinear singular BVP of limit circle type and the presence of reverse-ordered upper and lower solutions ⋮ Regions of existence for a class of nonlinear diffusion type problems ⋮ 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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analytical bounding functions for diffusion problems with Michaelis- Menten kinetics
• Singular non-linear two-point boundary value problems: existence and uniqueness
• Pointwise bounds for a nonlinear heat conduction model of the human head
• 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
• On a class of regular singular two point boundary value problems
• Existence of solutions for some nonlinear singular boundary value problems
• Mathematical models of tumor growth. IV: Effects of a necrotic core
• A constructive monotone iterative method for second-order BVP in the presence of lower and upper solutions
• On a class of weakly regular singular two-point boundary value problems. II
• Some new results for singular problems with sign changing nonlinearities
• Existence-uniqueness results for a class of singular boundary value problems arising in physiology
• Numerical Methods for Singular Boundary Value Problems
• Existence of solutions for nonlinear singular boundary value problems
• A nonlinear singular boundary value problem
• Positive Solutions of Singular Sublinear Dirichlet Boundary Value Problems
• Nonlinear singular Sturm–Liouville problems
• A note on the solvability of singular boundary value problems
• Existence, upper and lower solutions and quasilinearization for singular differential equations

This page was built for publication: The monotone iterative method and zeros of Bessel functions for nonlinear singular derivative dependent BVP in the presence of upper and lower solutions