Existence results for infinite dimensional differential equations without compactness

zbMath0826.34061MaRDI QIDQ1891522

Giovanni Colombo, Barnabas M. Garay

Publication date: 13 June 1995

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1994__92__127_0

zbMATH Keywords

existenceCauchy problemBanach 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)

Cites Work

• Nonlinear evolution operators and semigroups. Applications to partial differential equations
• Peano's theorem in Banach spaces
• Ordinary differential equations in Banach spaces
• The generic property of existence of solutions of differential equations in Banach space
• Making a Hole in the Space
• On the nonexistence of solutions of differential equations in nonreflexive spaces
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