Filters








991 Hits in 5.0 sec

Lattice-ordered Abelian groups and Schauder bases of unimodular fans, II

Vincenzo Marra
2013 Transactions of the American Mathematical Society  
in showing that finite, regular sets of positive generators are the same thing as abstract Schauder bases.  ...  An abstract, purely algebraic version of Schauder bases was investigated in the first part of the present paper, with motivations coming from the theory of lattice-ordered Abelian groups.  ...  License or copyright restrictions may apply to redistribution; see https://www.ams.org/journal-terms-of-use ABELIAN LATTICE-GROUPS AND SCHAUDER BASES, II  ... 
doi:10.1090/s0002-9947-2013-05706-6 fatcat:ifdrwd2jdjaq5msn36246jpgca

LMI-Based Stability Criterion of Impulsive T-S Fuzzy Dynamic Equations via Fixed Point Theory

Ruofeng Rao, Zhilin Pu
2013 Abstract and Applied Analysis  
At the end of this paper, a numerical example is presented to illustrate the effectiveness of the proposed methods.  ...  To the best of our knowledge, it is the first time to obtain the LMI-based stability criterion derived by a fixed point theory.  ...  However, the research skill of the above literature is mainly based on Lyapunov theory.  ... 
doi:10.1155/2013/261353 fatcat:jjvdpg6lbrhqjnyjn3bbepmfmu

Isomorphic Schauder decompositions in certain Banach spaces

Vitalii Marchenko
2014 Open Mathematics  
AbstractWe extend a theorem of Kato on similarity for sequences of projections in Hilbert spaces to the case of isomorphic Schauder decompositions in certain Banach spaces.  ...  To this end we use ℓψ-Hilbertian and ∞-Hilbertian Schauder decompositions instead of orthogonal Schauder decompositions, generalize the concept of an orthogonal Schauder decomposition to the case of Banach  ...  Acknowledgements The author is grateful to the referees for their useful remarks.  ... 
doi:10.2478/s11533-014-0441-y fatcat:rvfloy7tzzhg3ig7xvkvdt3pdy

A rivers basic edge weight connectivity of steam network based on fixed point diffusion graph theory

B. Malathi, S. Chelliah
2020 Malaya Journal of Matematik  
In fixed point diffusion analysis, many river distinguished such as the length, width, and depth have been un weeded. Some characteristics have crystal clear effects on the inter connectivity.  ...  Ripening, accented or gravely kept up apportionment systems can causes the quality of piped drinking water to dip below agreeable levels and lay out grievous health risks.  ...  In 1930, Schauder [10] extended Brouwer fixed point theorem to the result that every compact convex set in a Banach space has the fixed point property for contentious mapping, as well as that every weakly  ... 
doi:10.26637/mjm0802/0067 fatcat:ca7px2zbxfdepjktxsca7yr424

Mean field games based on stable-like processes

V. N. Kolokoltsov, M. S. Troeva, W. Yang
2016 Automation and remote control  
The Strathprints institutional repository (http://strathprints.strath.ac.uk) is a digital archive of University of Strathclyde research outputs.  ...  It has been developed to disseminate open access research outputs, expose data about those outputs, and enable the management and persistent access to Strathclyde's intellectual output.  ...  Let us stress finally that the concept of the mean field games lies in the general domain of mean field and nonlinear Markov control, see e.g. [2] , [20] , [78] , Section 11.2 of book [52] and references  ... 
doi:10.1134/s0005117916110138 fatcat:l5zhahputzfuxajf24xetkqhhq

Page 359 of American Mathematical Society. Bulletin of the American Mathematical Society Vol. 62, Issue 4 [page]

1956 American Mathematical Society. Bulletin of the American Mathematical Society  
This criterion, based on certain new identities, extends Bulgakov’s idea of time-averaging the varia- tional equations.  ...  Bass: Equivalent linearization and the existence of peri- odic solutions of ordinary differential equations.  ... 

ODE and PDE based modeling of biological transportation networks [article]

Jan Haskovec, Lisa Maria Kreusser, Peter Markowich
2018 arXiv   pre-print
We study the global existence of solutions of a discrete (ODE based) model on a graph describing the formation of biological transportation networks, introduced by Hu and Cai.  ...  We prove the global existence of weak solutions of the macroscopic PDE model.  ...  In contrast to the discrete modeling approach, models based on systems of partial differential equations (PDE) can be used to describe formation and adaptation of transportation networks based on macroscopic  ... 
arXiv:1805.08526v1 fatcat:su44zus2nbhvjibabs4bzstlqi

Developments in Schauder basis theory

C. W. McArthur
1972 Bulletin of the American Mathematical Society  
Surely the devastating effect of World War II is one factor in this distribution of mathematical output. Indeed, two of the originators of the abstract theory of bases, J. Schauder and S.  ...  In the forty-four years since 1927 when J. Schauder [101] introduced the notion of a topological basis for a Banach space, well over two hundred papers on basis theory have been published.  ...  A brief sketch of the proof of the Pelczynski-Singer theorem on the existence of conditional bases may be illuminating.  ... 
doi:10.1090/s0002-9904-1972-13048-9 fatcat:eeivpm7u2fhb7aecwij2d5gkcq

Double unconditional bases associated with a quadratic characteristic parameter problem

W.M Greenlee
1974 Journal of Functional Analysis  
If A, is also a characteristic value of A(h), the root subspaces r(h,) and r(X,) are said to have the same structure if they have the same dimension and if there exists a one-to-one linear mapping of r  ...  Extending this mapping by linearity and following with 1 $ ii/* finishes the construction.  ... 
doi:10.1016/0022-1236(74)90038-x fatcat:g7ds4uyzajfm5himkmcjxmx5ne

Pre-Frame Operators, Besselian Frames, and Near-Riesz Bases in Hilbert Spaces

James R. Holub
1994 Proceedings of the American Mathematical Society  
A problem of enduring interest in connection with the study of frames in Hubert space is that of characterizing those frames which can essentially be regarded as Riesz bases for computational purposes  ...  or which have certain desirable properties of Riesz bases.  ...  In the process we develop a simple model theory for frames in which the study of abstract frames can be reduced to the study of a particular canonical type of frame whose properties are often more easily  ... 
doi:10.2307/2160754 fatcat:wng7nupz55cjpgqulglqk6mbia

MV-algebras freely generated by finite Kleene algebras

Stefano Aguzzoli, Leonardo M. Cabrer, Vincenzo Marra
2013 Algebra Universalis  
The proofs rely heavily on the Davey-Werner natural duality for Kleene algebras, on the representation of finitely presented MV-algebras by compact rational polyhedra, and on the theory of bases of MV-algebras  ...  The recognition problem is to find conditions on the structure of a given V-algebra A that are necessary and sufficient for the existence of a W-algebra B such that F(B) is isomorphic to A.  ...  The defining properties of bases are to the effect that a basis of an MV-algebra A completely encodes a rational polyhedron P in R d , unique to within an appropriate notion of homeomorphism, such that  ... 
doi:10.1007/s00012-013-0250-3 fatcat:royq43fn4rgr5cawihe6g4543u

Pre-frame operators, Besselian frames, and near-Riesz bases in Hilbert spaces

James R. Holub
1994 Proceedings of the American Mathematical Society  
A problem of enduring interest in connection with the study of frames in Hubert space is that of characterizing those frames which can essentially be regarded as Riesz bases for computational purposes  ...  or which have certain desirable properties of Riesz bases.  ...  In the process we develop a simple model theory for frames in which the study of abstract frames can be reduced to the study of a particular canonical type of frame whose properties are often more easily  ... 
doi:10.1090/s0002-9939-1994-1204376-4 fatcat:7x3f7wiwcbg5bcuvbvualbdz6y

Glossary for the Monograph

Hans-Erik Nissen
2007 Informing Science  
The papers below, together with the editorial, are supported by this glossary: • Double Helix relationships in use and design of Informing Systems: Lessons to learn from phenomenology and hermeneutics.  ...  Bednar and Christine Welch. • 'Using Double Helix Relationships to Understand and Change Informing Systems' by Hans-Erik Nissen. • 'Applying Phenomenology and Hermeneutics in IS Design: A Report on Field  ...  This style of Buddhism is based on the second cycle of teachings given by the historical Buddha Shakyamuni.  ... 
doi:10.28945/654 fatcat:54fqxjisjjeunhag4wi34zbmyy

A weak maximum principle-based approach for input-to-state stability analysis of nonlinear parabolic PDEs with boundary disturbances [article]

Jun Zheng, Guchuan Zhu
2020 arXiv   pre-print
Based on the weak maximum principle, a classical result on the maximum estimate of solutions to linear parabolic PDEs has been extended, which enables the ISS analysis for certain nonlinear parabolic PDEs  ...  Compared to some existing methods, the scheme proposed in this paper involves less intensive computations and can be applied to the ISS analysis for a wide class of nonlinear PDEs with boundary disturbances  ...  Finally, one may find that the approach presented in this work can be extended to ISS analysis of other nonlinear (abstract) systems by estimating the solution w of the subsystem (9) in an abstract form  ... 
arXiv:1908.00335v2 fatcat:jmmk7cgivfhqndt4mhnvqkwbv4

Book review: "Topological Degree Approach to Bifurcation Problems" by Michal Fečkan

A. Rontó
2008 Miskolc Mathematical Notes  
Topological bifurcation theory is one of the most essential topics in mathematics.  ...  This book contains original bifurcation results for the existence of oscillations and chaotic behaviour of differential equations and discrete dynamical systems under variation of involved parameters.  ...  Chapter 7 is devoted to the study of the existence of periodic and subharmonic solutions of undamped abstract wave equations.  ... 
doi:10.18514/mmn.2008.205 fatcat:ilgtsd4ymffyxh3phafdgrp63u
« Previous Showing results 1 — 15 out of 991 results