A Note on Coincidence Degree Theory [PDF]
Abstract and Applied Analysis, 2012 The background of definition of coincidence degree is explained, and some of its basic properties are given.
Ali Sırma, Sebaheddin Ṣevgin
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Periodic solution of a bioeconomic fishery model by coincidence degree theory
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this article we use coincidence degree theory to study the existence of a positive periodic solutions to the following bioeconomic model in fishery dynamics \begin{equation*}\label{eq1.3} \begin{cases} \frac{dn}{dt} = n \left(r(t) \left(1-\frac{n ...
Satyam Srivastava +2 more
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Fixed point property and degree of coincidence
Applied General TopologyWe introduce the concept of degree of coincidence to measure the divergence from the fixed point property in case a space does not have the FPP.
W. Kulpa, A. Szymanski, M. Turzanski
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An Algebraic Decomposition of the Recursively Enumerable Degrees and the Coincidence of Several Degree Classes with the Promptly Simple Degrees [PDF]
Transactions of the American Mathematical Society, 1984 We specify a definable decomposition of the upper semilattice of recursively enumerable (r.e.) degrees R \mathbf {R} as the disjoint union of an ideal M \mathbf {M} and a strong filter N C \mathbf {NC} .
Ambos-Spies, Klaus +3 more
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Application of Mawhin′s Coincidence Degree and Matrix Spectral Theory to a Delayed System [PDF]
Abstract and Applied Analysis, 2012 This paper gives an application of Mawhin’s coincidence degree and matrix spectral theory to a predator‐prey model with M‐predators and N‐preys. The method is different from that used in the previous work. Some new sufficient conditions are obtained for the existence and global asymptotic stability of the periodic solution.
Xia, Yong-Hui +3 more
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The existence of almost periodic solution: via coincidence degree theory [PDF]
Boundary Value Problems, 2016 The author studies the existence of an almost periodic solution of a delay differential equation. First, few important lemmas are established and then the main result is proved. The main technique used is topological degree theory. Several estimates are established in order to fit the system in the framework of degree theory.
San-Fu Wang
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Positive solutions for super-sublinear indefinite problems: High multiplicity results via coincidence degree [PDF]
Transactions of the American Mathematical Society, 2017 58 pages, 5 PNG ...
Alberto Boscaggin +2 more
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A composite coincidence degree with applications to boundary value problems of neutral equations [PDF]
Transactions of the American Mathematical Society, 1993 The authors extend the notion of essential map and generalize the topological transversality theorem of Granas to the nonlinear problem \(L(I-B)(x)=G(x)\), where \(L\) is an unbounded Fredholm operator of index zero, \(B\) is condensing and \(G\) is \(L\)-compact. They also develop a topological degree theory to detect essential maps. Their topological
Erbe, L. H., Krawcewicz, W., Wu, J. H.
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A Robust Approach to CCRM Interval Regression considering Interval Coincidence Degree [PDF]
Mathematical Problems in Engineering, 2021 Traditional CCRMs (Constrained Center-and-Range Methods) in solving the problem of interval regression could hardly make tradeoffs between the overall fitting accuracy and the coincidence degree between the observed and predicted intervals and could also hardly reduce the number of disjoint elements between the observed and predicted intervals, as well
Wang Yu, Yan Shilin
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A Coincidence Degree for Bifurcation Problems with Applications to Steady State Flow [PDF]
PAMM, 2003 AbstractIn this paper we study the steady state flow of incompressible fluids treated as an eigenvalue problem. We can define a coincidence degree under some conditions weaker than the ones when the classical coincidence degree was defined, and use the properties of this degree to our problem.
S. Sburlan, C. Sburlan
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