Growth rates of solutions of superlinear ordinary differential equations

DOI10.1016/j.aml.2017.03.012zbMath1376.34034arXiv1702.06427OpenAlexW2591526436MaRDI QIDQ2403161

Denis D. Patterson, John A. D. Appleby

Publication date: 15 September 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.06427

zbMATH Keywords

growth ratesordinary differential equationsnonlinearsuperlinearunbounded solutions

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (3)

Blow-up and superexponential growth in superlinear Volterra equations ⋮ Vanishing and blow-up solutions to a class of nonlinear complex differential equations near the singular point ⋮ Growth and fluctuation in perturbed nonlinear Volterra equations

Cites Work

• Recent results on blow-up and quenching for nonlinear Volterra equations
• A Gronwall-like inequality and its applications
• Blow-up conditions for nonlinear Volterra integral equations with power nonlinearity
• On some generalizations o f Bellman's lemma
• Inequalities for differential and integral equations
• Generalization of a retarded Gronwall-like inequality and its applications
• Blow-up behavior of Hammerstein-type Volterra integral equations
• Hartman-Wintner growth results for sublinear functional differential equations
• A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
• On Necessary and Sufficient Conditions for Preserving Convergence Rates to Equilibrium in Deterministically and Stochastically Perturbed Differential Equations with Regularly Varying Nonlinearity
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