On some nonlinear ordinary differential equations with advanced arguments.

DOI10.1016/S0362-546X(02)00314-0zbMath1069.34095OpenAlexW1992493025MaRDI QIDQ1868020

Wolfgang Walter, Antoni Augustynowicz, Henryk Leszczyński

Publication date: 27 April 2003

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(02)00314-0

zbMATH Keywords

analytic solutionsdifferential equation with advanced argumentssubexponential (exponential) growth

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to functional-differential equations (34K12)

Related Items (8)

On the functional-differential equation of advanced type \(f^{\prime }(x)=af(\lambda x), \lambda >1\), with \(f(0)=0\) ⋮ Blow-up for some nonautonomous differential equations and inequalities with deviating arguments ⋮ Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument ⋮ Global analytic solutions of linear problems with shrinking argument. (Solutions analytiques globales de problémes linéaires avec argument absorbant) ⋮ Some considerations on functional differential equations of advanced type ⋮ Remarks on extremal solutions of differential equations with advanced argument ⋮ Unnamed Item ⋮ Stochastic maximum principle for controlled backward delayed system via advanced stochastic differential equation

Cites Work

• Über Funktional-Differentialgleichungen mit voreilendem Argument
• Theory of functional differential equations. 2nd ed
• On the Functional Equation dy/dx = f(x, y(x), y(x + h)), h > 0

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