Existence of solutions of ordinary differential equations involving dissipative and compact operators in Gelfand-Phillips spaces

DOI10.1016/0022-247X(86)90177-0zbMath0605.34002MaRDI QIDQ1084238

Giovanni Emmanuele

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemcompact operatorsGelfand Phillips propertyfirst order differential equationsdissipativeness condition

Mathematics Subject Classification ID

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

Related Items

Local existence of solutions for ordinary differential equations involving dissipative and compact functions, On a theorem of R. H. Martin on certain Cauchy problems for ordinary differential equations

Cites Work

• Evolution Generated by Semilinear Dissipative Plus Compact Operators
• Limited Operators and Strict Cosingularity
• Evolution Generated by continuous Dissipative Plus Compact Operators
• Remarks on Ordinary Differential Equations Involving Dissipative and Compact Operators^†
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