Well-posedness of a class of two-point boundary value problems associated with ordinary differential equations

DOI10.1186/S13662-018-1510-5zbMath1445.34049OpenAlexW2795154663MaRDI QIDQ1711319

Zhen Wu, Ruyi Liu

Publication date: 17 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1510-5

zbMATH Keywords

linear transformationordinary differential equationstwo-point boundary value problemsoptimal control theorymonotonicity conditionsregular decoupling field

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (7)

Existence theory for coupled nonlinear third-order ordinary differential equations with nonlocal multi-point anti-periodic type boundary conditions on an arbitrary domain ⋮ Some generalized Volterra-Fredholm type dynamical integral inequalities in two independent variables on time scale pairs ⋮ \(\epsilon\)-Nash mean-field games for general linear-quadratic systems with applications ⋮ A linear-quadratic mean-field game of backward stochastic differential equation with partial information and common noise ⋮ Some new nonlinear second-order boundary value problems on an arbitrary domain ⋮ Lyapunov-type inequalities for higher-order half-linear difference equations ⋮ A class of new nonlinear dynamic integral inequalities containing integration on infinite interval on time scales

Cites Work

• Boundary value problems for differential equations with fractional order and nonlocal conditions
• Finding adapted solutions of forward-backward stochastic differential equations: Method of continuation
• Solution of forward-backward stochastic differential equations
• On well-posedness of forward-backward SDEs -- a unified approach
• The wellposedness of FBSDEs
• Two-point boundary value problems associated with non-linear fuzzy differential equations
• Fully Coupled Forward-Backward Stochastic Differential Equations and Applications to Optimal Control
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