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Displaying 81 –
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305
This paper considers a Volterra's population system of fractional order and describes a bi-parametric homotopy analysis method for solving this system. The homotopy method offers a possibility to increase the convergence region of the series solution. Two examples are presented to illustrate the convergence and accuracy of the method to the solution. Further, we define the averaged residual error to show that the obtained results have reasonable accuracy.
We consider the wave equation damped
with a boundary nonlinear velocity feedback p(u').
Under some geometrical conditions, we prove that the energy
of the system decays to zero with an explicit decay rate estimate
even if the function ρ has not a polynomial behavior in zero.
This work extends some results of Nakao, Haraux, Zuazua and Komornik, who studied the case where the feedback has a polynomial behavior in zero and completes a result of Lasiecka and Tataru. The proof is based on the construction...
It is shown that there exist a continuous function and a regulated function defined on the interval such that vanishes everywhere except for a countable set, and the -integral of with respect to does not exist. The problem was motivated by extensions of evolution variational inequalities to the space of regulated functions.
We establish a Banach-Steinhaus type theorem for nonlinear functionals of several variables. As an application, we obtain extensions of the recent results of Balcerzak and Wachowicz on some meager subsets of L¹(μ) × L¹(μ) and c₀ × c₀. As another consequence, we get a Banach-Mazurkiewicz type theorem on some residual subset of C[0,1] involving Kharazishvili's notion of Φ-derivative.
Currently displaying 81 –
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305