Convoluted C-cosine Functions and Convoluted C-semigroups

m at h . FA ] 2 6 Fe b 20 07 Convoluted C - cosine functions and semigroups . Relations with ultradistribution and hyperfunction sines

Convoluted C-cosine functions and semigroups in a Banach space setting extending the classes of fractionally integrated C-cosine functions and semigroups are systematically analyzed. Structural properties of such operator families are obtained. Relations between convoluted C-cosine functions and analytic convoluted C-semigroups, introduced and investigated in this paper are given through the co...

Perturbation Theorems for Convoluted C-semigroups and Cosine Functions

Composition Property and Automatic Extension of Local Convoluted C-cosine Functions

Effects of Quinazolinones on the Development of BALB/c Mice Embryonic Kidneys

Objective(s) Quinazolinones are heterocyclic components (able to form cyclized compounds) which have several medical effects such as anti-malarial, spasmolytic, anti-microbial, sedative, etc. They are also known for their fungicidal properties, inhibition of tyrosine-kinase and DNA repair enzyme poly (ADP-ribose) polymerase (PARP) and are also effective in treatment of cancer, diabetes, and pa...

Rates of approximation and ergodic limits of regularized operator families

We state mean ergodic theorems with rates of approximation for a new class of operator families. Our result provides a unified approach to convergence rates for many particular strongly continuous solution families associated to linear evolution equations such as the abstract Cauchy problem of the first and second order, and integral Volterra equations of convolution type. We discuss in particu...