An application of the Leray-Schauder degree theory to boundary value problem for third and fourth order differential equations depending on the parameter
Displaying 321 – 340 of 467
An Application of the Stiefel-Whitney Classes to the Proof of a Fixed Point Theorem for Set-Valued Mappings
Dariusz Miklaszewski (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
We prove a fixed point theorem for Borsuk continuous mappings with spherical values, which extends a previous result. We apply some nonstandard properties of the Stiefel-Whitney classes.
An approximation method for continuous pseudocontractive mappings.
Song, Yisheng, Chen, Rudong (2006)
Journal of Inequalities and Applications [electronic only]
An Approximation Method in Asymptotic Fixed Point Theory.
Heinrich Steinlein (1974)
Mathematische Annalen
An approximation procedure for fixed points of strongly Lipschitz operators.
Verma, Ram U. (1997)
Portugaliae Mathematica
An continuation results for Fredholm integral equations on locally convex spaces.
Chiş, Adela (2005)
Acta Universitatis Apulensis. Mathematics - Informatics
An elliptic equation with no monotonicity condition on the nonlinearity
Gregory S. Spradlin (2006)
ESAIM: Control, Optimisation and Calculus of Variations
An elliptic PDE is studied which is a perturbation of an autonomous equation. The existence of a nontrivial solution is proven via variational methods. The domain of the equation is unbounded, which imposes a lack of compactness on the variational problem. In addition, a popular monotonicity condition on the nonlinearity is not assumed. In an earlier paper with this assumption, a solution was obtained using a simple application of topological (Brouwer) degree. Here, a more subtle degree...
An example for a one-parameter nonexpansive semigroup.
Suzuki, Tomonari (2005)
Abstract and Applied Analysis
An existence and uniqueness result for semilinear equations with Lipschitz nonlinearity.
Teodorescu, Dinu (2005)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
An existence result for nonlinear evolution equations of second order
Dimitrios A. Kandilakis (1996)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
In this paper we consider a second order differential equation involving the difference of two monotone operators. Using an auxiliary equation, a priori bounds and a compactness argument we show that the differential equation has a local solution. An example is also presented in detail.
An existence theorem for an implicit nonlinear evolution equation.
A. Bermúdez, J. Durany, C. Saguez (1984)
Collectanea Mathematica
An Existence Theorem for Class of Non-Coercive Optimization and Variational Problems.
Jens Frehse (1978)
Mathematische Zeitschrift
An existence theorem for differential inclusions on Banach space.
Ahmed, N.U. (1992)
Journal of Applied Mathematics and Stochastic Analysis
An existence theorem for the Urysohn integral equation in Banach spaces
Stanisław Szufla (1984)
Commentationes Mathematicae Universitatis Carolinae
An explicit construction of sunny nonexpansive retractions in Banach spaces.
Aleyner, Arkady, Reich, Simeon (2005)
Fixed Point Theory and Applications [electronic only]
An extension of a best approximation theorem.
Carbone, A. (1996)
International Journal of Mathematics and Mathematical Sciences
An extension of A. Ostrowski's Theorem on the round-off stability of iterations.
Jacek R. Jachymski (1997)
Aequationes mathematicae
An extension of a theorem of Sahab, Khan, and Sessa.
Khan, A.R., Hussain, N. (2001)
International Journal of Mathematics and Mathematical Sciences
An extension of Fan's fixed point theorem and equilibrium point of an abstract economy
Enayet U, Tarafdar (1990)
Commentationes Mathematicae Universitatis Carolinae
An extension of Gregus fixed point theorem.
Olaleru, J.O., Akewe, H. (2007)
Fixed Point Theory and Applications [electronic only]