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Perturbing the boundary conditions of the generator of a cosine family
Semigroup Forum, 2011The author considers the second order abstract Cauchy problem \[ \begin{gathered} u'' (t) = A_{\Phi} u (t), \;t \in \mathbb R, \\ u (0) = u_0, \;u' (0) = u_1, \end{gathered} \] where the operator \(A _{\Phi }\) is given by \(D(A _{\Phi }):=\{u\in D(A):Lu=\Phi u\}\) and \(A _{\Phi } u=Au\). Here, the operator \((A, D (A))\) is a given closed and densely
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On cosine families of Jensen set-valued functions
Aequationes mathematicae, 2008Let K be a closed convex cone with the nonempty interior in a real Banach space. A necessary and sufficient condition is given below that a family \(\{F_t : t \in {\mathbb{R}}\}\) of multifunctions Ft : K → cc(K) is a regular cosine family of continuous Jensen multifunctions.
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Observations on the dynamics of the complex cosine-root family
Journal of Difference Equations and Applications, 1998We develop an algorithm to study the behavior of orbits under iteration of the function The structure of the Julia set, or set of chaotic orbits, of a critically finite function such as this can be determined by the orbits of the critical values. Recent research has centered on functions with only one critical value. We describe computer experiments to
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Cosine Topp–Leone family of distributions: Properties and Regression
2023Suleman Nasiru +2 more
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A review of family caregiving intervention trials in oncology
Ca-A Cancer Journal for Clinicians, 2017Elaine Wittenberg
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Generation of cosine families via Lord Kelvin’s method of images
Journal of Evolution Equations, 2010Adam Bobrowski
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Functionals-preserving cosine families generated by Laplace operators in C[0,1]
Discrete and Continuous Dynamical Systems - Series B, 2015Adam Bobrowski +2 more
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Cosine families and abstract nonlinear second order differential equations
Acta Mathematica Hungarica, 1978exaly