An intermediate value property: some comparison and convergence theorems in λ(n,k)- parameter families

DOI10.1016/0362-546X(83)90042-1zbMath0529.34006OpenAlexW2089058326MaRDI QIDQ3310943

S. Umamaheswaram

Publication date: 1983

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(83)90042-1

zbMATH Keywords

convergencecomparison theoremsparameteriterative techniquesintermediate valueintermediate value property

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Boundary value problems for ordinary differential equations (34B99)

Cites Work

• Unrestricted \(n\)-parameter families
• \(\lambda(n,k)\)-parameter families and associated convex functions
• Boundary value problems for higher order differential equations
• Comparison theorems for nonlinear differential equations
• Subfunctions and third order differential inequalities
• Subfunction and second-order ordinary differential inequalities
• \(\lambda\)(n)-convex functions
• Boundary Value Problems and Comparison Theorems for Ordinary Differential Equations
• An Intermediate Value Property for Operators with Applications to Integral and Differential Equations
• A Note on Second Order Differential Inequalities
• On N-Parameter Families and Interpolation Problems for Nonlinear Ordinary Differential Equations

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