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Full-Text Articles in Physical Sciences and Mathematics
Existence Resultsfor Some Neutral Functional Integrodifferential Equations With Bounded Delay, Sylvain Koumla, Radu Precup, Abdou Sene
Existence Resultsfor Some Neutral Functional Integrodifferential Equations With Bounded Delay, Sylvain Koumla, Radu Precup, Abdou Sene
Turkish Journal of Mathematics
In this paper, we study a class of neutral functional integrodifferential equations with finite delay in Banach spaces. We are interested in the global existence, uniqueness of mild solutions with values in the Banach space and in its subspace $D(A).$ The results are based on Banach's and Schauder's fixed point theorems and on the technique of equivalent norms. As an application, we consider a diffusion neutral functional integrodifferential equation.
Differentiable Functions And The Generators On A Hilbert-Lie Group, Erdal Coşkun
Differentiable Functions And The Generators On A Hilbert-Lie Group, Erdal Coşkun
Turkish Journal of Mathematics
A convolution semigroup plays an important role İn the theory of probability measure on Lie groups. The basic problem is that one wants to express a semigroup as a Lévy-Khinckine formula. If (\mu_t)_{t\epsilonR*_+} is a continuous semigroup of probability + measures on a Hilbert-Lie group G, then we define T{\mu_t}f:=\integral f_a\mu_t(da) (f\epsilonC_u(G),t>0 It is apparent that (\mu_t)_t{t\epsilonR*_+} is a contİnuous operator semigroup on the space + C_u ( G) with the İnfinitesimal generator N. The generatİng functional A of this semigroup is defined by A := Iim_t-->0 1/t(T_{\mu_t}f(e) - f(e). We have the problem of consliuction of a …