Results 11 to 20 of about 69 (68)
Abstract and Applied Analysis, Volume 2004, Issue 10, Page 815-829, 2004., 2004 This paper deals with the initial‐boundary value problem for the system of motion equations of an incompressible viscoelastic medium with Jeffreys constitutive law in an arbitrary domain of two‐dimensional or three‐dimensional space. The existence of weak solutions of this problem is obtained.
D. A. Vorotnikov, V. G. Zvyagin
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An index formula for the degree of (S)+‐mappings associated with one‐dimensional p‐Laplacian
Abstract and Applied Analysis, Volume 2004, Issue 11, Page 981-995, 2004., 2004 The topological degree for (S)+‐mappings concerning a nonlinear eigenvalue problem associated with one‐dimensional p‐Laplacian is evaluated. The result is applied to a variational inequality, where the multiple existence of solutions is discussed.
Jun Kobayashi, Mitsuharu Ôtani
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Local properties of maps of the ball
Abstract and Applied Analysis, Volume 2003, Issue 2, Page 75-81, 2003., 2003 Let f be an essential map of Sn−1 into itself (i.e., f is not homotopic to a constant mapping) admitting an extension mapping the closed unit ball B¯n into ℝn. Then, for every interior point y of Bn, there exists a point x in f−1(y) such that the image of no neighborhood of x is contained in a coordinate half space with y on its boundary.
Yakar Kannai
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Properness and topological degree for general elliptic operators
Abstract and Applied Analysis, Volume 2003, Issue 3, Page 129-181, 2003., 2003 The paper is devoted to general elliptic operators in Hölder spaces in bounded or unbounded domains. We discuss the Fredholm property of linear operators and properness of nonlinear operators. We construct a topological degree for Fredholm and proper operators of index zero.
V. Volpert, A. Volpert
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Approximation structures and applications to evolution equations
Abstract and Applied Analysis, Volume 2003, Issue 12, Page 685-696, 2003., 2003 We discuss various properties of the nonlinear A‐proper operators as well as a generalized Leray‐Schauder principle. Also, a method of approximating arbitrary continuous operators by A‐proper mappings is described. We construct, via appropriate Browder‐Petryshyn approximation schemes, approximative solutions for linear evolution equations in Banach ...
Adrian Duma, Cristian Vladimirescu
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High Multiplicity and Chaos for an Indefinite Problem Arising from Genetic Models
Advanced Nonlinear Studies, 2020 We deal with the periodic boundary value problem associated with the parameter-dependent second-order nonlinear differential ...
Boscaggin Alberto +2 more
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Periodic solutions of nonlinear vibrating beams
Abstract and Applied Analysis, Volume 2003, Issue 14, Page 823-841, 2003., 2003 The aim of this paper is to prove new existence and multiplicity results for periodic semilinear beam equation with a nonlinear time‐independent perturbation in case the period is not prescribed. Since the spectrum of the linear part varies with the period, the solvability of the equation depends crucially on the period which can be chosen as a free ...
J. Berkovits, H. Leinfelder, V. Mustonen
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Global behavior of positive solutions for some semipositone fourth-order problems
Advances in Difference Equations, 2018 In this paper, we study the global behavior of positive solutions of fourth-order boundary value problems {u′′′′=λf(x,u),x∈(0,1),u(0)=u(1)=u″(0)=u″(1)=0, $$ \textstyle\begin{cases} u''''=\lambda f(x,u), \quad x\in (0,1), \\ u(0)=u(1)=u''(0)=u''(1)=0 ...
Dongliang Yan, Ruyun Ma
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On boundary value problems for degenerate differential inclusions in Banach spaces
Abstract and Applied Analysis, Volume 2003, Issue 13, Page 769-784, 2003., 2003 We consider the applications of the theory of condensing set‐valued maps, the theory of set‐valued linear operators, and the topological degree theory of the existence of mild solutions for a class of degenerate differential inclusions in a reflexive Banach space.
Valeri Obukhovskii, Pietro Zecca
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Existence problems for homoclinic solutions
Abstract and Applied Analysis, Volume 7, Issue 1, Page 1-27, 2002., 2002 The problem x˙=f(t,x), x(−∞)=x(+∞), where x(±∞) : = limt→±∞x(t) ∈ ℝn, is considered. Some existence results for this problem are established using the fixed point method and topological degree theory.
Cezar Avramescu
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