Ordinary differential inequalities in ordered Banach spaces

DOI10.1016/0022-0396(71)90079-9zbMath0217.12501OpenAlexW2013514748MaRDI QIDQ2546254

Wolfgang Walter

Publication date: 1971

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(71)90079-9

Mathematics Subject Classification ID

Differential equations in abstract spaces (34G99)

Related Items (16)

Remarks on ordinary differential equations in ordered Banach spaces ⋮ Differential inequalities in ordered Banach spaces for two-point boundary value problems ⋮ Geometrical Properties of Cones and the Comparison of Solutions of Differential Equations ⋮ Deterministic and stochastic differential equations in infinite- dimensional spaces ⋮ A differential inequality for the distance function in normed linear spaces ⋮ Differential inequalities and flow-invariance via linear functionals ⋮ Positively invariant subset for non-densely defined Cauchy problems ⋮ Flow-invariant sets and differential inequalities in normed spaces^† ⋮ Differential inequalities for infinite second order systems and an application to the method of lines ⋮ On solutions in a cone of ordinary differential equations in an ordered Banach space ⋮ Differential inequalities of second order in Banach spaces ⋮ Gewöhnliche Differentialungleichungen mit quasimonoton wachsenden Funktionen in topologischen Vektorräumen. (Ordinary differential equations with quasi-monotone increasing functions in topological vector spaces) ⋮ The parabolic Cauchy problem. II ⋮ Über die Invarianz konvexer Mengen und Differentialungleichungen in einem normierten Raume ⋮ Quasimonotonie und Ungleichungen in halbgeordneten Räumen ⋮ Gewöhnliche Differentialungleichungen mit quasimonotonen Funktionen in normierten linearen Räumen

Cites Work

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• Anwendung von Fixpunktsätzen bei der numerischen Behandlung nichtlinearer Gleichungen in halbgeordneten Räumen
• Zur Theorie der Systeme gewöhnlicher Differentialgleichungen. II
• Existenzsätze im Großen für das Cauchyproblem bei nichtlinearen parabolischen Differentialgleichungen mit der Linienmethode
• Gewöhnliche Differential-Ungleichungen im Banachraum
• Aufgaben monotoner Art
• Integration of infinite systems of differential inequalities
• Differential- und Integral-Ungleichungen

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