This paper is concerned with the existence of mild solutions for impulsive integro-differential equations with nonlocal conditions. We apply the technique measure of noncompactness in the space of piecewise continuous functions and by using Darbo-Sadovskii's fixed point theorem, we prove reasults about impulsive integro-differential equations for convex-power condensing operators.

A gauged bi-differential calculus over an associative (and not necessarily commutative) algebra A is an N0-graded left A-module with two covariant derivatives acting on it which, as a consequence of certain (e.g., nonlinear differential) equations, are flat and anticommute. As a consequence, there is an iterative construction of generalized conserved currents. We associate a gauged bi-different...

We introduce a new concept of complete integrability in the framework of noncommutative geometry. It involves a gauged bi-differential calculus over an associative (and not necessarily commutative) algebra A. Basically, this is an N0-graded left A-module with two covariant exterior derivatives acting on it which, as a consequence of certain (e.g., nonlinear differential) equations, are flat and...

In this paper, we study linear control systems over Ore algebras. Within this mathematical framework, we can simultaneously deal with different classes of linear control systems such as time-varying ordinary differential systems, differential time-delay systems, partial differential equations, multidimensional discrete systems, etc. We give effective algorithms which check whether or not a line...

This paper proposes several nonlinear control strategies for trajectory trackingof a quadcopter system based on the property of differential flatness. Its origi-nality is twofold. Firstly, it provides a flat output for the quadcopter dynamicscapable of creating full flat parametrization of the states and inputs. Moreover,B-splines characterizations of the flat output and the...

Serial concatenation of standard convolutional or block codes with differential spacetime modulation is considered for flat fading multiple antenna channels. Extrinsic information transfer is used to predict thresholds for various outer codes. Using the differential structure of the inner code near coherent performance is obtained without the use of training symbols.

The boundary layer equations for non-Newtonian fluids are examined under the classical conditions of uniform flow past a semi infinite flat plate. Using the similarity transformation, the system of partial differential equations are transformed into a similarity non-linear ordinary differential equation. The existence and uniqueness of some classes of similarity solutions are studied and their ...

We consider filtered holomorphic vector bundles on a compact Riemann surface X equipped with a holomorphic connection satisfying a certain transversality condition with respect to the filtration. If Q is a stable vector bundle of rank r and degree (1−genus(X))nr , then any holomorphic connection on the jet bundle Jn(Q) satisfies this transversality condition for the natural filtration of Jn(Q) ...

Ahsrract -A new design technique for linear-phase FIR filters, based on maximally flat building blocks, is presented. The design technique does not involve iterative approximations and is, therefore, fast. It gives rise to filters that have a monotone stopband response, as required in some applications. The technique is partially based on an interpolative scheme. Implementation of the obtained ...