Borsuk-Ulam type theorems
A generalization of the theorem of Bajmóczy and Bárány which in turn is a common generalization of Borsuk's and Radon's theorem is presented. A related conjecture is formulated.
Bound sets and two-point boundary value problems for second order differential systems
The solvability of second order differential systems with the classical separated or periodic boundary conditions is considered. The proofs use special classes of curvature bound sets or bound sets together with the simplest version of the Leray-Schauder continuation theorem. The special cases where the bound set is a ball, a parallelotope or a bounded convex set are considered.
Boundary value problem for an infinite system of second order differential equations in spaces
The concept of measures of noncompactness is applied to prove the existence of a solution for a boundary value problem for an infinite system of second order differential equations in space. We change the boundary value problem into an equivalent system of infinite integral equations and result is obtained by using Darbo’s type fixed point theorem. The result is illustrated with help of an example.
Boundary value problems for differential equations with deviating arguments
Boundary value problems for first order multivalued differential systems
We present some existence results for boundary value problems for first order multivalued differential systems. Our approach is based on topological transversality arguments, fixed point theorems and differential inequalities.
Boundary value problems for nonlinear partial differential equations in anisotropic Sobolev spaces
Boundary value problems for nonlinear perturbations of some ϕ-Laplacians
This paper surveys a number of recent results obtained by C. Bereanu and the author in existence results for second order differential equations of the form (ϕ(u'))' = f(t,u,u') submitted to various boundary conditions. In the equation, ϕ: ℝ → ≤ ]-a,a[ is a homeomorphism such that ϕ(0) = 0. An important motivation is the case of the curvature operator, where ϕ(s) = s/√(1+s²). The problems are reduced to fixed point problems in suitable function space, to which Leray-Schauder...
Bounded approximants to monotone operators on Banach spaces
Bounds on Nonlinear Operators in Finite-dimensional Banach Spaces.
Bourgin–Yang-type theorem for -compact perturbations of closed operators. I: The case of index theories with dimension property.
Branching of Solutions of a Class of Nonlinear Equations.
Brief survey of semigroup theory and its applications to evolution problems.
Brouwer degree, equivariant maps and tensor powers.
Browder-Fan fixed point theorem and related results
Browder-Krasnoselskii-type fixed point theorems in Banach spaces.
Browder's convergence for uniformly asymptotically regular nonexpansive semigroups in Hilbert spaces.
Browder's type strong convergence theorems for infinite families of nonexpansive mappings in Banach spaces.
Bukhvalov type characterizations of Urysohn operators