On a periodic-type boundary value problem for first-order nonlinear functional differential equations

DOI10.1016/S0362-546X(01)00838-0zbMath1022.34058OpenAlexW2077657755MaRDI QIDQ698847

Alexander Lomtatidze, Robert Hakl, Jiři Šremr

Publication date: 30 September 2002

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/s0362-546x(01)00838-0

zbMATH Keywords

solvabilityfirst-order nonlinear functional-differential equationsperiodic-type boundary value problem

Mathematics Subject Classification ID

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

Related Items (11)

On the Cauchy problem for two-dimensional systems of linear functional differential equations with monotone operators ⋮ New solvability conditions for a nonlocal boundary-value problem for nonlinear functional differential equations ⋮ Nonpositive solutions of a functional differential inequality ⋮ Solvability of the Cauchy problem for higher-order linear functional differential equations ⋮ On estimates of solutions of the periodic boundary value problem for first-order functional differential equations ⋮ On periodic solutions of higher-order functional differential equations ⋮ Periodic solutions of first-order nonlinear functional differential equations ⋮ On the dimension of the solution set to the homogeneous linear functional differential equation of the first order ⋮ On the best constants in the solvability conditions for the periodic boundary value problem for higher-order functional differential equations ⋮ Infinitely many periodic solutions to delay differential equations via critical point theory ⋮ Existence of Periodic Solutions for First Order Differential Equations with Applications

Cites Work

• Theory of functional differential equations. 2nd ed
• On periodic solutions to systems of differential equations with deviating arguments
• On periodic solutions of first order linear functional differential equations
• Periodic solutions of nonlinear functional differential equations
• On some boundary value problems for systems of linear functional differential equations
• On boundary value problems for systems of linear functional differential equations
• Optimal conditions for unique solvability of the Cauchy problem for first order linear functional differential equations
• On Cauchy Problem for First Order Nonlinear Functional Differential Equations of Non-Volterra's Type
• On a Boundary-Value Problem of Antiperiodic Type for First-Order Nonlinear Functional Differential Equations of Non-Volterra Type
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