Results 131 to 140 of about 23,112 (257)
Bernstein’s theorem for Banach spaces [PDF]
Proceedings of the American Mathematical Society, 1968 This paper contains a Banach space generalization of Bernstein's Theorem. An absolutely monotonic (f(n) > 0, n = 1, 2, ) real valued function of a real variable is real analytic. For some background on this theorem, see S. Bernstein [1], D. V. Widder [5], or R. Boas [2]. We first present some definitions. We denote a Banach space over the reals by E; U
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From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9696-9708, June 2026.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
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A Theorem of Rolewicz's Type for Measurable Evolution Families in Banach Spaces
, 2001 Let $varphi$ be a positive and non-decreasing function defined on the real half-line and ${mathcal U}$ be a strongly measurable, exponentially bounded evolution family of bounded linear operators acting on a Banach space and satisfing a certain ...
Constantin Buse +3 more
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A class of abstract quasi-linear evolution equations of second order
, 1999 In this paper we study the abstract quasi-linear evolution equation of second order formula here in a general banach space z. it is well-known that the abstract quasi-linear theory due to kato [10, 11] is widely applicable to quasi-linear partial ...
NAOKI TANAKA, Tanaka, Naoki
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Some properties of Banach-valued sequence spaces ℓp[X]
International Journal of Mathematics and Mathematical Sciences, 2001 We discuss some properties of the Banach-valued sequence space ℓp[X](1 ...
Qingying Bu
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Holomorphic Processes in Banach Spaces and Banach Algebras
Journal of Multivariate Analysis, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity
Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9929-9947, June 2026.ABSTRACT In this paper we study the linearized version of the strain gradient elasticity equation in ℝ2$$ {\mathbb{R}}^2 $$ with constant coefficients and we prove that one can determine the two Lamé coefficients λ,μ$$ \lambda, \mu $$ as well as the internal strain gradient parameter g$$ g $$, as indicated by Mindlin in his revolutionary papers in 1963–
Antonios Katsampakos +1 more
wiley +1 more source
Several Inequalities of Frechet Spaces
, 2005 Several inequalities of Frechet spaces are given in this paper, which can be regarded as the Frechet spaces versions of the well-known polarization identity occurring in Hilbert spaces. Our results generalize many inequalities in Banach spaces.
Shi, Chaofeng
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Spectral synthesis for Banach Algebras II [PDF]
, 1999 This paper continues the study of spectral synthesis and the topologies tau-infinity and tau-r on the ideal space of a Banach algebra, concentrating particularly on the class of Haagerup tensor products of C*-algebras.
Somerset, D.W.B., Feinstein, Joel
core
Random nonlinear evolution inclusions in reflexive Banach spaces
, 1988 In this paper we present two existence results for a large class of random, nonlinear, multivalued evolution equations defined in a reflexive, separable Banach space and involving an m m -dissipative operator.
Papageorgiou, N +3 more
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