Results 41 to 50 of about 6,524,644 (115)
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT We consider optimal control of the heat equation where the control variable appears linearly as a boundary control. We establish switching times optimization for bang–bang controls with multiple switching times. Particularly, representations of variational derivatives of the state and the cost w.r.t. switching times are given.
Georg Vossen
wiley +1 more source
Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson +2 more
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Banach fixed point theorem for digital images
, 2015 In this paper, we prove Banach fixed point theorem for digital images. We also give the proof of a theorem which is a generalization of the Banach contraction principle.
Karaca, Ismet, Ege, Ozgur
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Common Fixed Point Theorem on Cone Banach Space [PDF]
, 2013 The aim of this manuscript is to discuss some fixed point results for self mappings satisfying certain contractive conditions on Cone Banach ...
Fixed points, P.G., Dersanambika, K.S.
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Fragmentation–Coagulation Processes With Advection or Diffusion in Space
Mathematical Methods in the Applied Sciences, Volume 49, Issue 17, Page 17952-17982, 30 November 2026.ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more general version ...
Jacek Banasiak, Nduduzo Majozi
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Banach fixed point theorem for digital imagesa
, 2015 In this paper, we prove Banach fixed point theorem for digital images. We also give the proof of a theorem which is a generalization of the Banach contraction principle.
Ege O., Karaca I.
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, 2022 U ovom završnom radu prvo ćemo obraditi potpune metričke prostore i popratiti nekim primjerima, a zatim ćemo iskazati i dokazati čuveni Banachov teorem o fiksnoj točki.
Bučanac, Gabi
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On the Global Asymptotic Stability of an Infection‐Age‐Structured Competitive Model
Mathematical Methods in the Applied Sciences, Volume 49, Issue 17, Page 18040-18072, 30 November 2026.ABSTRACT We investigate an infection‐age‐structured competitive epidemiological model involving multiple strains. While classical results establish competitive exclusion when a unique maximal basic reproduction number exists, we provide here a complete characterization of the asymptotic behavior for an arbitrary number of populations without assuming ...
S. Girel, Q. Richard
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Some fixed point theorems for discontinuous mappings [PDF]
This paper provides a fixed point theorem à la Schauder, where the mappings considered are possibly discontinuous. Our main result generalizes and unifies several well-known results.Schauder fixed point theorem, Brouwer fixed point theorem, discontinuity.
Philippe Bich
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Engineering Reports, Volume 8, Issue 11, November 2026.Computational modeling of tumors is foundational in exploring cancer behavior, guiding clinical decision‐making, and assessing therapeutic impact in a controlled, predictive framework. While integer‐order models have been extensively explored in the past, innovative applications of fractional calculus to cancer‐immune system modeling remain largely ...
Mubashir Qayyum +2 more
wiley +1 more source