Results 161 to 170 of about 1,012,253 (172)
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Applied Mathematics and Computation, 2005
The authors consider the following boundary value problem for an impulsive differential equation of second order \[ \begin{gathered} y''(t)+ \varphi(t)f(y(t))= 0,\quad t\in (0,1)\setminus\{t_1,\dots, t_m\},\quad 0 ...
Donal O'Regan, Ravi Agarwal
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The authors consider the following boundary value problem for an impulsive differential equation of second order \[ \begin{gathered} y''(t)+ \varphi(t)f(y(t))= 0,\quad t\in (0,1)\setminus\{t_1,\dots, t_m\},\quad 0 ...
Donal O'Regan, Ravi Agarwal
exaly +3 more sources
Applied Mathematics and Computation, 2001
The authors extend the results of \textit{R. W. Leggett} and \textit{I. R. Williams} [Indiana Univ. Math. J. 28, 673--688 (1979; Zbl 0421.47033)] and \textit{W. V. Petryshyn} [J. Math. Anal. Appl. 124, 237--253 (1987; Zbl 0631.47044)] about the existence of at least three fixed points, to multivalued maps which satisfy an axiomatic index theory.
Donal O'Regan, Ravi Agarwal
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The authors extend the results of \textit{R. W. Leggett} and \textit{I. R. Williams} [Indiana Univ. Math. J. 28, 673--688 (1979; Zbl 0421.47033)] and \textit{W. V. Petryshyn} [J. Math. Anal. Appl. 124, 237--253 (1987; Zbl 0631.47044)] about the existence of at least three fixed points, to multivalued maps which satisfy an axiomatic index theory.
Donal O'Regan, Ravi Agarwal
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Leggett-Garg Inequalities for Quantum Fluctuating Work [PDF]
Entropy, 2018 The Leggett-Garg inequalities serve to test whether or not quantum correlations in time can be explained within a classical macrorealistic framework. We apply this test to thermodynamics and derive a set of LeggettGarg inequalities for the statistics of ...
Harry J D Miller, Janet Anders
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Leggett-Williams norm-type theorems for coincidences
Archiv der Mathematik, 2006We study the existence of positive solutions to the operator equation Lx = Nx, where L is a linear Fredholm mapping of index zero and N is a nonlinear operator. Using the properties of cones in Banach spaces and Leray-Schauder degree for completely continuous operators, k-set contractions and condensing mappings, we obtain some refinements of the ...
Donal O’Regan, Mirosława Zima
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Fractional Singular Coupled System: Existence Theory via Extended Leggett-Williams Theorem
Al-imad Journal of Humanities and Applied SciencesIn this paper, a very detailed existence theory is proposed for a coupled system of fractional differential equations with two competing cubic-root singularities. The system has two opposite nonlinear terms x^(-1/3) (repulsive) and x^(1/3) (restorative).
Entesar M. Nasr +4 more
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Caldeira–Leggett Model vs Ab Initio Potential: A Vibrational Spectroscopy Test of Water Solvation
Journal of Chemical Physics, 2021Michele Ceotto +2 more
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Leggett–Williams Norm-Type Fixed Point Theorems for Multivalued Mappings
Applied Mathematics and Computation, 2007Donal O'Regan, Mirosława Zima
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