Results 31 to 40 of about 192 (65)
On the degree theory for densely defined mappings of class (S+)L
Abstract and Applied Analysis, Volume 4, Issue 3, Page 141-152, 1999., 1999 We introduce a new construction of topological degree for densely defined mappings of monotone type. We also study the structure of the classes of mappings involved. Using the basic properties of the degree, we prove some abstract existence results that can be applied to elliptic problems.
Juha Berkovits
wiley +1 more source
Brouwer degree, equivariant maps and tensor powers
Abstract and Applied Analysis, Volume 3, Issue 3-4, Page 401-409, 1998., 1998 A construction of equivariant maps based on factorization through symmetric powers of a faithful representation is presented together with several examples of related equivariant maps. Applications to differential equations are also discussed.
Z. Balanov, W. Krawcewicz, A. Kushkuley
wiley +1 more source
Weak solutions of degenerated quasilinear elliptic equations of higher order
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 689-706, 1996., 1995 We prove the existence of weak solutions of higher order degenerated quasilinear elliptic equations. The main tools are the degree theory for generalized monotone mappings and imbedding theorems between weighted Sobolev spaces. The straightforward use of these imbeddings allows us to consider more general assumptions than those in our preceding paper ...
Pavel Drábek +2 more
wiley +1 more source
Non-trivial, non-negative periodic solutions of a system of singular-degenerate parabolic equations with nonlocal terms [PDF]
, 2014 We study the existence of non-trivial, non-negative periodic solutions for systems of singular-degenerate parabolic equations with nonlocal terms and satisfying Dirichlet boundary conditions.
Fragnelli, Genni +3 more
core +2 more sources
On a local degree for a class of multi‐valued vector fields in infinite dimensional Banach spaces
Abstract and Applied Analysis, Volume 1, Issue 4, Page 381-396, 1996., 1996 This paper is devoted to the development of a local degree for multi‐valued vector fields of the form f − F. Here, f is a single‐valued, proper, nonlinear, Fredholm, C1‐mapping of index zero and F is a multi‐valued upper semicontinuous, admissible, compact mapping with compact images.
N. M. Benkafadar, B. D. Gel′man
wiley +1 more source
Advanced Nonlinear Studies, 2019 Efficient conditions guaranteeing the existence and multiplicity of T-periodic solutions to the second order differential equation u′′=h(t)g(u){u^{\prime\prime}=h(t)g(u)} are established.
Hakl Robert, Zamora Manuel
doaj +1 more source
Nonexistence of positive solutions of nonlinear boundary value problems [PDF]
, 2012 We discuss the nonexistence of positive solutions for nonlinear boundary value problems. In particular, we discuss necessary restrictions on parameters in nonlocal problems in order that (strictly) positive solutions exist.
Webb, Jeff
core +2 more sources
A continuation principle for a class of periodically perturbed autonomous systems
, 2007 In this paper we evaluate the topological index of periodic solutions otained via the Malkin-Loud bifurcation result. Incidentally, we do not assume that the perturbation is differentiale.Comment: Accepted to Math. Nachr., Vol. 281, (2008), No.
Kamenskii, Mikhail +2 more
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THE ROLE OF LOWER AND UPPER SOLUTIONS IN THE GENERALIZATION OF LIDSTONE PROBLEMS [PDF]
, 2012 In this the authors consider a nonlinear fourth order fully equation coupled with the Lidstone boundary conditions, We discuss how di erent de nitions of lower and upper solutions can generalize existence and location results for boundary value problems ...
Fialho, João, Minhós, Feliz
core
Periodic orbits of continuous and discontinuous piecewise linear differential systems via first integrals [PDF]
, 2017 Agraïments: The first author is partially supported by FEDER-UNAB-10-4E-378 and a CAPES grant 88881.
Llibre, Jaume, Teixeira, Marco Antonio
core +2 more sources