Grimmer, R. C. and Haddock, J. R., Stability of bounded and unbounded sets for ordinary differential equations, Ann. Mat. Pura Appl., 99 (1974), 143-153.R. C. GRIMMER AND J. R. HADDOCK, Stability of bounded and unbounded sets for ordinary differential equations, Ann. Mat. Pwa Appl...
MULTIPLE POSITIVE SOLUTIONS OF INHOMOGENEOUS SEMILINEAR ELLIPTIC EQUATIONS IN UNBOUNDED DOMAINS IN R~2 In this paper,we consider the existence of multiple positive solutions of the following inhomepeneous semilinear elliptic equation where λ 0.ed and ω is ... DM Cao - 数学物理学报(英文版) 被...
A new duality between bounded and unbounded convex sets and hstars... A Inselberg - 《Visual Computer》 被引量: 1953发表: 1985年 Hyper-encryption against Space-Bounded Adversaries from On-Line Strong Extractors We study the problem of information-theoretically secure encryption in the bounded-...
You can also have a bounded and unbounded set of numbers. This definition is much simpler, but remains similar in meaning to the previous two. A bounded set is a set of numbers that has an upper and a lower bound. For example, the interval [2,401) is a bounded set, because it has...
unbounded adjective unlimited, endless, infinite, limitless, vast, absolute, lavish, uncontrolled, unchecked, boundless, unbridled, unrestrained, immeasurable, unconstrained an unbounded capacity to imitate and adopt the new limited, bounded, restricted, confined, curbed, constrained Collins Thesaurus of the...
The general definition and theorems are useful when we use the weak topology of a ball in a separable Hilbert space or when functions are defined on unbounded domains and we use the topology generated by convergence on bounded subdomains of the unbounded domain (for example, such topology is wi...
We previously proposed a formula for estimating the embedding constant on bounded and unbounded Lipschitz domains by estimating the norm of Stein's extension operator. Although this formula can be applied to a domain Ω that can be divided into a finite number of Lipschitz domains, there was ...
In such a situation, the core may be unbounded, and one has to select a bounded part of the core as a solution concept. The restricted core is obtained by imposing equality constraints in the core for sets belonging to so-called normal collections, resulting (if nonempty) in the selection...
Hamiltonian systemUnbounded dynamicsCompact invariant setPolytopeNonchaoticity•Unbounded dynamics is stated in case of negative curvature.•Domain with unbounded dynamics is got in case of positive curvature.•Localization polytope for compact invariant sets is computed.•One two dimensional invariant...
2 Can injective bounded operators have dense image and bounded inverse? 4 Do "nice" unbounded everywhere-defined operators on a Banach space exist? 2 Why are bounded-below linear operators injective? Related 8 Bounded linear operator maps norm-bounded, closed sets to closed sets. Implies ...