Asymptotic properties of differential equations with advanced argument

DOI10.1023/A:1022468713283zbMath1079.34544MaRDI QIDQ3366540

Jan Čermák

Publication date: 14 February 2006

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30602

zbMATH Keywords

functional-differential equationasymptotic behaviouradvanced argumentfunctional (nondifferential) equation

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Functional equations for real functions (39B22)

Related Items

Some qualitative properties of linear dynamic equations with multiple delays ⋮ On the summability of formal solutions of nonlinear partial differential equations with shrinkings ⋮ Exponentially decaying solutions for models with delayed and advanced arguments: Nonlinear effects in linear differential equations ⋮ Some considerations on functional differential equations of advanced type

Cites Work

• A change of variables for functional differential equations
• The asymptotic bounds of solutions of linear delay systems
• Introduction to functional differential equations
• Asymptotic representation of solutions of the equation \(\dot y(t)=\beta(t)[y(t)-y(t-\tau(t))\)]
• Asymptotic behavior of solutions of the functional differential equation \(x'(t)=ax(t)+bx(t^\alpha), a>1\)
• Transformation and canonical forms of functional-differential equations
• The functional-differential equation $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right)$
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