Discontinuous first-order functional boundary value problems

DOI10.1016/J.NA.2007.07.051zbMath1210.34088OpenAlexW2017716212MaRDI QIDQ944775

Rubén Figueroa Sestelo, Rodrigo López Pouso

Publication date: 10 September 2008

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.2007.07.051

zbMATH Keywords

boundary value problemsfunctional differential equationsdiscontinuous differential equations

Mathematics Subject Classification ID

Discontinuous ordinary differential equations (34A36) Boundary value problems for functional-differential equations (34K10)

Related Items (8)

Positive solutions for discontinuous problems with applications to \(\phi \)-Laplacian equations ⋮ Fixed point theorems in partially ordered topological spaces with applications ⋮ Coupled fixed points of multivalued operators and first-order ODEs with state-dependent deviating arguments ⋮ Extremal solutions of nonlinear functional discontinuous fractional equations ⋮ General existence principles for Stieltjes differential equations with applications to mathematical biology ⋮ Preservation of oscillations of the Runge-Kutta method for equation \(x'(t)+ax(t)+a_1x([t - 1)=0\)] ⋮ Positive solutions for φ-Laplace equations with discontinuous state-dependent forcing terms ⋮ Transversality conditions for the existence of solutions of first-order discontinuous functional differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear boundary value problem for first order impulsive integro-differential equations of mixed type
• First- and second-order discontinuous functional differential equations with impulses at fixed moments
• Existence of solutions for discontinuous differential equations
• Upper and lower solutions for first-order discontinuous ordinary differential equations
• On solvability of implicit functional equations with applications to discontinuous differential equations
• Periodic boundary value problem for non-Lipschitzian impulsive functional differential equations
• Necessary conditions for solving initial value problems with infima of superfunctions
• Generalized monotone iterative method for integro differential equations with periodic boundary conditions
• Extremal solutions of a discontinuous scalar differential equation
• ON DISCONTINUOUS FUNCTIONAL VOLTERRA INTEGRAL EQUATIONS AND IMPULSIVE DIFFERENTIAL EQUATIONS IN ABSTRACT SPACES
• On extending existence theory from scalar ordinary differential equations to infinite quasimonotone systems of functional equations
• Nonresonance conditions and extremal solutions for first-order impulsive problems under weak assumptions
• Ordinary differential equations and systems with time-dependent discontinuity sets

This page was built for publication: Discontinuous first-order functional boundary value problems