On initial and boundary value problems for implicit dynamic equations on time scales

DOI10.1007/S40306-013-0026-ZzbMath1314.34183OpenAlexW2109073385MaRDI QIDQ384111

Nguyen Chi Liem

Publication date: 26 November 2013

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-013-0026-z

zbMATH Keywords

Green's functiontime scalesboundary-value problemindexlinear dynamic equationimplicit dynamic equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Dynamic equations on time scales or measure chains (34N05)

Cites Work

• Lyapunov stability of quasilinear implicit dynamic equations on time scales
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Singular control systems
• Exponential dichotomies of linear dynamic equations on measure chains under slowly varying coefficients.
• Connections between implicit difference equations and differential-algebraic equations
• On the solvability of initial-value problems for nonlinear implicit difference equations
• On discrete analogues of nonlinear implicit differential equations
• The Conditioning of Boundary Value Problems in Transferable Differential-Algebraic Equations
• DEGENERATE COCYCLE WITH INDEX-1 AND LYAPUNOV EXPONENTS
• Solvability of Boundary Value Problems for Systems of Singular Differential-Algebraic Equations
• On Linear Implicit Non-autonomous Systems of Difference Equations
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