Our purpose in this manuscript is to study the existence of solution, stability analysis and exact controllability results for an abstract integro hybrid evolution system with impulses on time scales. Non-linear functional analysis, operator theory Banach contraction theorem have been used establish these results. In end, we present some theoretical numerical examples different scales illustrat...

Abstract In this paper, we mainly study a kind of fractional-order multiple point boundary value problem involving noninstantaneous impulse and abstract bounded operator. The existence uniqueness is obtained by the Banach contraction principle. And applying direct analysis methods, establish some conditions Ulam–Hyers stability for problem. Finally, an interesting application example given to i...

Abstract In the current manuscript, we combine q -fractional integral operator and derivative to investigate a coupled hybrid fractional -differential systems with sequential -derivatives. The existence uniqueness of solutions for proposed system are established by means Leray-Schauder’s alternative Banach contraction principle. Furthermore, Ulam-Hyers Ulam-Hyers-Rassias stability results discu...

Consider axisymmetric equations associated with Laplace-type operators. We establish full regularity estimates in high-order Kondrat′vetype spaces for possible singular solutions due to the non-smoothness of the domain and to the singular coefficients in the operator. Then, we show suitable graded meshes can be used in high-order finite element methods to achieve the optimal convergence rate, e...

6 Hermann, R., "A Poisson kernel for certain homogeneous spaces," Proc. Am. Math. Soc., 12, 892-899 (1961). 7Segal, I. E., "A class of operator algebras determined by groups," Duke Math. J., 18, 221-265 (1951). 8 Inonu, E., and E. Wigner, "On the contraction of Lie groups and their representations," these PROCEEDINGS, 39, 510-524 (1953). 9 Saletan, E., "Contraction of Lie groups," J. Math. Phys...

The aim of this paper is to extend the system of belief revision developed by Alchourr on, G ardenfors and Makinson (AGM) to a more general framework. This extension not only enables a treatment of revision by single sentences but also by any sets of sentences, especially by in nite sets. The extended revision and contraction operators will be called general ones, respectively. A group of post...

We establish the existence and uniqueness of finite free resolutions and their attendant Betti numbers for graded commuting d-tuples of Hilbert space operators. Our approach is based on the notion of free cover of a (perhaps noncommutative) row contraction. Free covers provide a flexible replacement for minimal dilations that is better suited for higher-dimensional operator theory. For example,...