An intermediate value theorem in ordered Banach spaces
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In this paper, the authors prove an intermediate value theorem for quasimonotone increasing functions in ordered Banach spaces, under the assumption that each nonempty order bounded chain has a supremum.Abstract:
We prove an intermediate value theorem for certain quasimonotone increasing functions in ordered Banach spaces, under the assumption that each nonempty order bounded chain has a supremum.read more
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On the lower and upper solutions method for the problem of elastic beam with hinged ends
TL;DR: The existence theorem for solutions of fourth-order nonlinear equations with the Lidstone boundary conditions which model deflections of an elastic beam (curve) with the hinged ends was established in this paper.
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On fixed point theorems for monotone increasing vector valued mappings via scalarizing
TL;DR: In this paper, a fixed point theorem for a vector valued mapping is presented, which can be viewed as an extension, improvement and repair of the main theorem given in Kostrykin and Oleynik (fixed point theory Appl 2012:211, 2012).
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Suprema of chains of operators
Gerd Herzog,Christoph Schmoeger +1 more
TL;DR: In this article, the authors give a sufficient condition for the Loewner ordering on the space of all symmetric operators on a Hilbert space to have a supremum in a real Banach space.
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Dynamics of a non‐selective harvesting predator–prey model with Hassell–Varley type functional response and impulsive effects
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Integral inequalities for volterra equation in the banach space with cone
TL;DR: In this article, the existence of upper and lower solutions for nonlinear integro-differential equations with delayed arguments with a continuous, nonnegative and continuous operator in the Banach space is proved.
References
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Book
Nonlinear operators and differential equations in Banach spaces
TL;DR: Martin and Deimling as discussed by the authors gave a good account of the progress in the field of abstract differential equations and their application in the context of functional analysis, including the notion of nonlinear functional analysis and variational inequalities.
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Chain-complete posets and directed sets with applications
TL;DR: The notion of chain-completeness has been studied in a variety of applications, e.g. as discussed by the authors shows that a topological space is a chain of points if and only if every chain of cardinality not greater than ε has a cluster point.
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Gewöhnliche Differentialungleichungen mit quasimonoton wachsenden Funktionen in topologischen Vektorräumen
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