Kneser's theorem for differential equations in Banach spaces

DOI10.1017/S0004972700004007zbMath0579.34046MaRDI QIDQ3701804

Nikolaos S. Papageorgiou

Publication date: 1986

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemnonreflexive Banach space

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20)

Related Items

Deterministic and stochastic differential equations in infinite- dimensional spaces

Cites Work

• Peano's theorem in Banach spaces
• Kneser type theorems for ordinary differential equations in Banach spaces
• Solutions of differential equations in B-spaces
• Non-linear equations of evolution
• On the existence of weak solutions of differential equations in nonreflexive banach spaces
• On the nonexistence of weak solutions to abstract differential equations in nonreflexive spaces
• On the nonexistence of solutions of differential equations in nonreflexive spaces