Differential inequalities and non-lipschitz scalar functions

DOI10.1007/BF01691098zbMath0231.34047MaRDI QIDQ5638609

James A. Yorke

Publication date: 1970

Published in: Mathematical Systems Theory (Search for Journal in Brave)

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Differential inequalities involving functions of a single real variable (34A40)

Related Items (15)

Stability in the continuous case ⋮ Repelling conditions for boundary sets using Lyapunov-like functions. II: Persistence and periodic solutions ⋮ Positivity for elliptic and parabolic systems ⋮ Monotone evolution of resource allocations ⋮ A differential inequality for the distance function in normed linear spaces ⋮ Discontinuous scalar functions and ordinary differential equations ⋮ Monotone trajectories of differential inclusions and functional differential inclusions with memory ⋮ Positively invariant sets for functional differential equations with infinite delay ⋮ Bounded variation evolution equations ⋮ Positively invariant closed sets for systems of delay-differential equations ⋮ Positive invariance of closed sets for generalized Volterra equations ⋮ Nonautonomous differential equations in Banach spaces ⋮ Fixed Point Theorems for Mappings Satisfying Inwardness Conditions ⋮ Vlasov equations on digraph measures ⋮ Stability via the Lyapunov function with a discontinuous derivative

Cites Work

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• On a new type of stability
• Liapunov Functions and L p Solutions of Differential Equations
• Invariance for ordinary differential equations
• On the Fundamental Theory of Differential Equations
• On the Asymptotic Behaviour of Solutions of a Differential Equation in Boundary Layer Theory

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