Some generic properties of functional differential equations in Banach spaces

DOI10.1016/0022-247X(79)90035-0zbMath0451.34058MaRDI QIDQ1147883

Francesco S. de Blasi, Józef Myjak

Publication date: 1979

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

zbMATH Keywords

Cauchy problemset of Baire first category

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05) Linear differential equations in abstract spaces (34G10)

Related Items

Uniqueness and global convergence of successive approximations for solutions of functional integral equations with infinite delay ⋮ Deterministic and stochastic differential equations in infinite- dimensional spaces ⋮ Uniqueness and continuous dependence of the solutions for functional differential equations as a generic property ⋮ Existence of solutions and Kamke's theorem for functional differential equations in Banach spaces ⋮ Successive approximations for solutions of functional integral equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Peano's theorem in Banach spaces
• Most of the successive approximations do converge
• Forward and backward continuation for neutral functional differential equations
• The generic property of existence of solutions of differential equations in Banach space
• Some remarks on the existence and uniqueness of solutions of the hyperbolic equation ∂²z/(∂x∂y)=f(x,y,x,∂z/∂x,∂z/∂y)
• Existence, uniqueness and approximation of fixed points as a generic property
• Generic Properties of Hyperbolic Partial Differential Equations
• Generic Properties of Differential Equations