On a local degree for a class of multi-valued vector fields in infinite dimensional Banach spaces.
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Displaying 1 – 18 of 18
On a min-max procedure for the existence of a positive solution for certain scalar field equations in RN.
Abbas Bahri, Yan Yan Li (1990)
Revista Matemática Iberoamericana
In this paper we mainly introduce a min-max procedure to prove the existence of positive solutions for certain semilinear elliptic equations in RN.
On a nonlinear integral equation without compactness.
Isaia, F. (2006)
Acta Mathematica Universitatis Comenianae. New Series
On calculation of the relative index of a fixed point in the nondegenerate case.
Guminskaya, A.V., Zabreiko, P.P. (2006)
Abstract and Applied Analysis
On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications.
Obukhovskii, Valeri, Zecca, Pietro, Zvyagin, Victor (2002)
Abstract and Applied Analysis
On existence theorems for semilinear equations and applications
Fang Zhang, Feng Wang (2013)
Annales Polonici Mathematici
Existence results for semilinear operator equations without the assumption of normal cones are obtained by the properties of a fixed point index for A-proper semilinear operators established by Cremins. As an application, the existence of positive solutions for a second order m-point boundary value problem at resonance is considered.
On local and global injectivity of noncompact vector fields in non necessarily locally convex vector spaces
Holger Alex (1994)
Commentationes Mathematicae Universitatis Carolinae
We give in this paper conditions for a mapping to be globally injective in a topological vector space.
On Mawhin's continuation principles.
Fulina, Silvia (2005)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
On some nonlinear potential problems.
Efendiev, M.A., Schmitz, Hermann, Wendland, Wolfgang L. (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
On some topological methods in theory of neutral type operator differential inclusions with applications to control systems
Mikhail Kamenskii, Valeri Obukhovskii, Jen-Chih Yao (2013)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
We consider a neutral type operator differential inclusion and apply the topological degree theory for condensing multivalued maps to justify the question of existence of its periodic solution. By using the averaging method, we apply the abstract result to an inclusion with a small parameter. As example, we consider a delay control system with the distributed control.
On the Conley index in Hilbert spaces - a multivalued case
Zdzisław Dzedzej (2007)
Banach Center Publications
We introduce the cohomological Conley type index theory for multivalued flows generated by vector fields which are compact and convex-valued perturbations of some linear operators.
On the degree theory for densely defined mappings of class .
Berkovits, Juha (1999)
Abstract and Applied Analysis
On the existence of periodic solutions of an hyperbolic equation in a thin domain
Russell Johnson, Mikhail Kamenskii, Paolo Nistri (1997)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
For a nonlinear hyperbolic equation defined in a thin domain we prove the existence of a periodic solution with respect to time both in the non-autonomous and autonomous cases. The methods employed are a combination of those developed by J. K. Hale and G. Raugel and the theory of the topological degree.
On the Lefschetz fixed point theorem
Lech Górniewicz (2002)
Mathematica Slovaca
On the solvability of a system of wave and beam equations.
Berkovits, Juha (2001)
Abstract and Applied Analysis
On the study of a class of variational inequalities via Leray-Schauder degree.
Goeleven, D., Motreanu, D., Motreanu, V.V. (2004)
Fixed Point Theory and Applications [electronic only]
On two problems studied by A. Ambrosetti
David Arcoya, José Carmona (2006)
Journal of the European Mathematical Society
We study the Ambrosetti–Prodi and Ambrosetti–Rabinowitz problems.We prove for the first one the existence of a continuum of solutions with shape of a reflected (-shape). Next, we show that there is a relationship between these two problems.
On variational inequalities associated with the Navier-Stokes equation: Some bifurcation problems.
Le, Vy Khoi, Schmitt, Klaus (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Currently displaying 1 – 18 of 18
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