Existence and stability of ordinary differential equations in locally convex spaces

DOI10.1016/0362-546X(81)90047-XzbMath0471.34004OpenAlexW2081567596MaRDI QIDQ3924509

S. B. Agase

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0362-546x(81)90047-x

zbMATH Keywords

asymptotic stabilityexistence of weak solutionsmonotone mappingsduality mappingsmonotonicity techniquesb-condensing

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Stability of solutions to ordinary differential equations (34D20) Linear differential equations in abstract spaces (34G10) Asymptotic properties of solutions to ordinary differential equations (34D05) Stability theory for ordinary differential equations (34D99)

Related Items (4)

Une contribution à la stabilité des équations différentielles ordinaires dans les espaces localement convexes. (A contribution to the stability of ordinary differential equations in locally convex spaces) ⋮ Deterministic and stochastic differential equations in infinite- dimensional spaces ⋮ Ordinary differential equations on closed subsets of locally convex spaces with applications to fixed point theorems ⋮ Existence theorem for noninstantaneous impulsive evolution equations

Cites Work

• Fixed points in locally convex spaces
• Integration in a Convex Linear Topological Space
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