Existence of extremal solutions and comparison results for delay differential equations in abstract cones

zbMath0507.34063MaRDI QIDQ1837331

R. L. Vaughn, Aghalaya S. Vatsala

Publication date: 1981

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_1981__64__1_0

zbMATH Keywords

Cauchy problemBanach spacecomparison theoremsextremal solutions

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) General theory of functional-differential equations (34K05)

Related Items (2)

Periodic solutions of hyperbolic partial differential equations ⋮ Monotone iterative technique for delay differential equations in abstract cones

Cites Work

• Ordinary differential equations in Banach spaces
• Punti uniti in trasformazioni a codominio non compatto
• Maximal and minimal solutions and comparison results for differential equations in abstract cones
• On the existence of solutions of differential equations of retarded type in a Banach space
• Existence and uniqueness of solutions of delay differential equations on a closed subset of a Banach space
• Existence of solutions in a closed set for delay differential equations in Banach spaces
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