As the impulsive differential equations are useful in modelling many real processes observed in physics, chemistry, biology, engineering, etc., see [1, 11, 13, 20, 21, 22, 25, 26, 27], there has been an increasing interest in studying such equations from the point of view of stability, asymptotic behavior, existence of periodic solutions, and oscillation of solutions. The classical theory can b...

This paper infers from a generalized Picone identity the uniqueness of stable positive solution for class semilinear equations superlinear indefinite type, as well and global attractivity coexistence state in two diffusive prototypes symbiotic competing species models Lotka–Volterra. The optimality these theorems reveals tremendous strength identity.

Proteolytic resistance is a relevant aspect to be tested in the formulation of new nanoscale biomaterials. The action of proteolytic enzymes is a very fast process occurring in the range of few minutes. Here, we report data concerning the proteolytic resistance of a heat-set BSA hydrogel obtained after 20-hour incubation at 60 °C prepared at the pH value of 3.9, pH at which the hydrogel present...

TO SPEECH RECOGNITION1 Aravind Ganapathiraju Jonathan Hamaker and Joseph Picone Conversay Inst. for Signal and Information Processing 15375 NE 90th St. Mississippi State University Redmond, WA, USA Mississippi State, MS 39762, USA [email protected] {hamaker, picone}@isip.msstate.edu ABSTRACT Statistical techniques based on hidden Markov Models (HMMs) with Gaussian emission densities ...

Maya Briani1, Claudia La Chioma2, Roberto Natalini3 1 Universitá di Roma “La Sapienza”, Dipartimento per le Decisioni Economiche e Finanziarie, Via del Castro Laurenziano, 00161 Roma, Italy; e-mail: [email protected] 2 Universitá di Roma “La Sapienza”, Dipartimento di Matematica Pura ed Applicata, Piazzale Aldo Moro, 2, 00161 Roma, Italy; e-mail: [email protected] 3 Istituto per le Applic...

We consider the oscillatory property of the following p(t)-Laplacian equations −(|u′|p(t)−2u′)′ = 1/tθ(t)g(t,u), t > 0. Since there is no Picone-type identity for p(t)Laplacian equations, it is an unsolved problem that whether the Sturmian comparison theorems for p(x)-Laplacian equations are valid or not. We obtain sufficient conditions of the oscillatory of solutions for p(t)-Laplacian equations.

In contrast to recent claims by Enss, Henkel, Picone, and Schollwöck [J. Phys. A 37, 10479] it is shown by numerical simulations that the autoresponse function of the critical 1+1-dimensional contact process is not in agreement with the predictions of local scale invariance. Submitted to: Journal of Statistical Mechanics: Theory and Experiment PACS numbers: 05.50.+q, 05.70.Ln, 64.60.Ht The cont...