Continuability of solutions of perturbed differential equations

DOI10.1016/0362-546X(84)90113-5zbMath0575.34046OpenAlexW2053162397MaRDI QIDQ3695640

Jitsuro Sugie, Tadayuki Hara, Toshiaki Yoneyama

Publication date: 1984

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(84)90113-5

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (7)

Constantin's inequality for nabla and diamond-alpha derivative ⋮ Global existence problem for singular functional differential equations ⋮ Constantin integral inequalities on time scales ⋮ Global existence of solutions for perturbed differential equations ⋮ Unnamed Item ⋮ A retarded Gronwall-like inequality and its applications ⋮ A note on blow-up solutions for a scalar differential equation with a discrete delay

Cites Work

• Continuation results for differential equations by two Liapunov functions
• On the boundedness of solutions of perturbed linear systems
• On the delay-differential equations x'(t) + a(t)f(x(t - r(t))) = 0 and x(t) + a(t)f(x(t - r(t)))=0
• Perturbing uniform asymptotically stable nonlinear systems
• The extendability of solutions of perturbed scalar differential equations
• Perturbing Uniformly Stable Linear Systems with and without Attraction
• The Non-Local Existence Problem of Ordinary Differential Equations
• The Infinities in the Non-Local Existence Problem of Ordinary Differential Equations
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