Existence of solutions for ordinary differential equations in Banach spaces

DOI10.1016/0022-0396(75)90079-0zbMath0325.34069OpenAlexW2059130548MaRDI QIDQ1225213

Tien-Yien Li

Publication date: 1975

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(75)90079-0

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Differential equations in abstract spaces (34G99)

Related Items (15)

Periodic Solutions for a Differential Equation in Banach Space ⋮ Deterministic and stochastic differential equations in infinite- dimensional spaces ⋮ On existence and uniqueness of solutions for ordinary differential equations in locally convex topological linear spaces ⋮ Dynamical system related to primal-dual splitting projection methods ⋮ On the Cauchy problem for ordinary differential equations in Banach spaces ⋮ Mild solutions of evolution equations and measures of noncompactness ⋮ Asymptotic equilibrium of ordinary differential systems in a Banach space ⋮ Ordinary differential equations involving perturbations in Banach spaces ⋮ Fixed point theorems through abstract cones ⋮ Existence of solutions and Kamke's theorem for functional differential equations in Banach spaces ⋮ A degree theory for semicondensing vectorfields in infinite dimensional Banach spaces and applications ⋮ Existence of solutions in a closed set for delay differential equations in Banach spaces ⋮ Kneser type theorems for ordinary differential equations in Banach spaces ⋮ Some remarks on the structure of the solution set for differential inclusions in Banach spaces ⋮ Do ideas have shape? Idea registration as the continuous limit of artificial neural networks

Cites Work

• Nonlinear semigroups and evolution equations
• Un teorema di esistenza per le equazioni differenziali negli spazi di Banach
• The logarithmic derivative and equations of evolution in a Banach space
• The generic property of existence of solutions of differential equations in Banach space
• On the nonexistence of solutions of differential equations in nonreflexive spaces
• A Global Existence Theorem for Autonomous Differential Equations in a Banach Space
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