On solutions of differential equations in Banach spaces

DOI10.1016/j.na.2004.09.041zbMath1061.34043OpenAlexW2036278080MaRDI QIDQ1763862

Mieczysław Cichoń

Publication date: 22 February 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.09.041

zbMATH Keywords

Cauchy problemIntegrabilitySolutionsDifferentiabilityMeasures of noncompactness

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20)

Related Items (17)

Multi-term fractional differential equations in a nonreflexive Banach space ⋮ On solutions of fractional order boundary value problems with integral boundary conditions in Banach spaces ⋮ Weak solutions for fractional differential equations via Henstock-Kurzweil-Pettis integrals ⋮ On an integral equation under Henstock-Kurzweil-Pettis integrability ⋮ On existence solutions and solution sets of differential equations and differential inclusions with delay in Banach spaces ⋮ On the lack of equivalence between differential and integral forms of the Caputo-type fractional problems ⋮ Fixed point theorems for convex-power condensing operators relative to the weak topology and applications to Volterra integral equations ⋮ Weak solutions for the dynamic Cauchy problem in Banach spaces ⋮ Nonlinear integrodifferential equations of mixed type in Banach spaces ⋮ Second order three-point boundary value problems in abstract spaces ⋮ Carathéodory solutions of Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces ⋮ A note on Peano's theorem on time scales ⋮ Weak solutions for fractional differential equations in nonreflexive Banach spaces via Riemann-Pettis integrals ⋮ Nonlinear fractional differential equations in nonreflexive Banach spaces and fractional calculus ⋮ Fractional calculus and fractional differential equations in nonreflexive Banach spaces ⋮ On a step method and a propagation of discontinuity ⋮ On functions without pseudo derivatives having fractional pseudo derivatives

Cites Work

• The Perron integral in ordinary differential equations
• Convergence theorems for the Henstock-Kurzweil-Pettis integral
• On \(x'=f(t,x)\) and Henstock-Kurzweil integrals
• On the solution of \((dy/dx)_{ap}=f(x,y)\)
• On Kurzweil generalized ordinary differential equations
• The Henstock integral for Banach-valued functions
• Riemann integration in Banach spaces
• Topological dynamics of ordinary differential equations and Kurzweil equations
• Discontinuous systems and the Henstock-Kurzweil integral
• Weak solutions of ordinary differential equations in Banach spaces
• Solutions of differential equations in B-spaces
• On Kurzweil-Henstock equiintegrable sequences
• The Denjoy extension of the Riemann and Mcshane integrals
• Measure solutions for semilinear systems with unbounded nonlinearities
• Strongly Generated Banach Spaces and Measures of Noncompactness
• The Denjoy extension of the Bochner, Pettis, and Dunford integrals
• Pettis Integration
• Kneser's theorems for strong, weak and pseudo-solutions of ordinary differential equations in Banach spaces
• A Characterization of Strongly Measurable Pettis Integrable Functions
• On Integration in Vector Spaces
• On differentiation of vector-valued functions
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