Boundary value problems for functional difference equations

DOI10.1016/0893-9659(96)00032-8zbMath0856.34074OpenAlexW1972781880MaRDI QIDQ1921191

Johnny Henderson, Allan C. Peterson

Publication date: 19 February 1997

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(96)00032-8

zbMATH Keywords

boundary value problemstopological transversalitysecond-order functional difference equationnonlinear alternative of Leray and Schauder

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) General theory of functional-differential equations (34K05) Functional inequalities, including subadditivity, convexity, etc. (39B62) Boundary value problems for functional-differential equations (34K10)

Related Items (3)

Positive solutions of boundary value problems for third-order functional difference equations ⋮ Solutions and Green's functions for boundary value problems of second-order four-point functional difference equations ⋮ A multiplicity result for a generalized Sturm–Liouville problem on time scales

Cites Work

• Existence results for differential delay equations. I
• Smoothness of solutions for delay-difference equations
• Monotone methods for higher-order partial difference equations
• Positive solutions to certain classes of singular nonlinear second order boundary value problems
• Existence-uniqueness and iterative methods for right focal point boundary value problems for differential equations with deviating arguments
• Existence of solutions of boundary value problems for differential equations with deviating arguments, via the topological transversality method
• Abel–Gontscharoff interpolation error bounds for derivatives
• Existence results for differential delay equations—II
• Sharp conditions for the oscillation of delay difference equations
• Two positive solutions of a boundary value problem for difference equations
• Existence of solutions to some differential delay equations
• An existence principle for boundary value problems for second order functional differential equations
• Boundary value problems for functional differential equations
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