Results 131 to 140 of about 1,672 (143)

Leggett–Williams type theorems with applications to nonlinear differential and integral equations

Nonlinear Analysis: Theory, Methods & Applications, 2015
The authors generalize several results of \textit{R. W. Leggett} and \textit{L. R. Williams} [J. Math. Anal. Appl. 60, 248--254 (1977; Zbl 0352.45005)]. In particular, they consider a class of maps which are more general than the compact ones in an ordered Banach space.
Dariusz Bugajewski, Piotr Kasprzak
exaly   +2 more sources

A generalization of the Leggett-Williams fixed point theorem and its application

Journal of Applied Mathematics and Computing, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hai-E Zhang, Jian-Ping Sun, Zhang Hai-E   +2 more
exaly   +3 more sources

A Fixed Point Theorem of Leggett–Williams Type with Applications to Single- and Multivalued Equations

Georgian Mathematical Journal, 2001
Abstract We establish a general fixed point theorem for multivalued maps defined on cones in Banach spaces. Applications to single and multivalued equations are presented.
Ravi P Agarwal
exaly   +2 more sources

Existence of Three Solutions to Integral and Discrete Equations via the Leggett Williams Fixed Point Theorem

Rocky Mountain Journal of Mathematics, 2001
Criteria are developed for the existence of three nonnegative solutions to integral and discrete equations. The strategy involves using the Leggett Williams fixed point theorem.
Ravi P Agarwal
exaly   +5 more sources

A multiplicity result for second order impulsive differential equations via the Leggett Williams fixed point theorem

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 ...
Ravi P Agarwal
exaly   +3 more sources

A generalization of the Petryshyn–Leggett–Williams fixed point theorem with applications to integral inclusions

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.
Ravi P Agarwal
exaly   +3 more sources

Leggett-Williams norm-type theorems for coincidences

Archiv der Mathematik, 2006
We 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
openaire   +1 more source

Expansion-compression fixed point theorem of Leggett-Williams type for the sum of two operators and applications for some classes of BVPs

Studia Universitatis Babes-Bolyai Matematica, 2023
"The purpose of this work is to establish an extension of a Leggett- Williams type expansion-compression fixed point theorem for a sum of two operators. As illustration, our approach is applied to prove the existence of non trivial nonnegative solutions for two-point BVPs and three-point BVPs."
Benslimane, Salim, Georgiev, Svetlin G., Mebarki, Karima   +2 more
openaire   +1 more source

Caldeira–Leggett model vs ab initio potential: A vibrational spectroscopy test of water solvation

Journal of Chemical Physics, 2021
Alessandro Rognoni, Riccardo Conte, Michele Ceotto   +2 more
exaly  

Leggett, William (1801–1839)

2008
openaire   +1 more source