Results 31 to 40 of about 13,207 (286)
Cosine families in GDP Quojection-Fréchet spaces
Boletim da Sociedade Paranaense de Matemática, 2022 We prove that if the Quojection-Fréchet space $X$ is a Grothendieck space with the Dunford-Pettis property, then every $C_ {0}$-cosine family is necessarily uniformly continuous and therefore its infinitesimal generator is a continuous linear operator.
Rachid Ameziane Hassani +3 more
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ON COSINE FAMILIES CLOSE TO SCALAR COSINE FAMILIES [PDF]
Journal of the Australian Mathematical Society, 2015 We prove that if two normed-algebra-valued cosine families indexed by a single Abelian group, of which one is bounded and comprised solely of scalar elements of the underlying algebra, differ in norm by less than$1$uniformly in the parametrising index, then these families coincide.
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On Multivalued Cosine Families [PDF]
Journal of Applied Analysis, 2007 The author gives the following result: Let \(X\) be a real Banach space and let \(K\) be a closed convex cone in \(X\) such that \(\text{int\,}K\neq\emptyset\). Assume that \(\{F_t: t\in\mathbb{R}\}\) is a regular cosine family of continuous linear multifunctions \(F_t: K\to cc(X)\) and \(x\in F_t(x)\) for all \(x\in K\) and \(t\in\mathbb{R}\).
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Mild and classical solutions to a fractional singular second order evolution problem
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Existence and uniqueness of mild and classical solutions are discussed for an abstract second-order evolution problem. The nonlinearity contains a local term and a non-local term.
Nasser-Eddine Tatar
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Poncelet Plectra: Harmonious Curves in Cosine Space
, 2021 It has been shown that the family of Poncelet N-gons in the confocal pair (elliptic billiard) conserves the sum of cosines of its internal angles. Curiously, this quantity is equal to the sum of cosines conserved by its affine image where the caustic is ...
Jaud, Daniel +2 more
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Some properties of set-valued sine families [PDF]
Opuscula Mathematica, 2012 Let \(\{F_t : t \geq 0\}\) be a family of continuous additive set-valued functions defined on a convex cone \(K\) in a normed linear space \(X\) with nonempty convex compact values in \(X\). It is shown that (under some assumptions) a regular sine family
Ewelina Mainka-Niemczyk
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On the Trigonometric and p-Trigonometric Functions of Elliptical Complex Variables
Communications in Advanced Mathematical Sciences, 2020 In the early 2000s, the geometry of a one-parameter family of generalized complex number systems was studied (Math. Mag. 77(2)(2004)). This family is denoted by Cp.
Kahraman Esen Özen
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A direct computation of a certain family of integrals [PDF]
Arab Journal of Mathematical Sciences, 2021 Purpose – The authors propose a rather elementary method to compute a family of integrals on the half line, involving positive powers of sin x and negative powers of x, depending on the integer parameters n≥q≥1.
Lorenzo Fornari +2 more
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On a second-order differential problem with fractional derivatives of order greater than one
Mathematical Modelling and Analysis, 2013 A second-order abstract problem with derivatives of non-integer order is investigated. The nonlinearity involves fractional derivatives between 1 and 2. Existence and uniqueness of mild and classical solutions are established in appropriate spaces.
Nasser-eddine Tatar
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Energies, 2021 Stepper motors are widely used in many applications where discrete, precise movement is required. There is a variety of dedicated stepper motor controllers (sometimes referred to as “step sticks”) available on the market.
Bogdan Bednarski +2 more
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