Results 21 to 30 of about 18,096 (200)

A generalized Gronwall inequality and its application to fractional neutral evolution inclusions

Journal of Inequalities and Applications, 2016
This paper deals with the fractional neutral evolution differential inclusions. The existence results are established by using the fractional power of operators and a fixed point theorem for multivalued map.
Zufeng Zhang, Zhangzhi Wei
doaj   +1 more source

Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup

Abstract and Applied Analysis, 2012
This paper deals with the existence of mild solutions for a class of fractional evolution equations with compact analytic semigroup. We prove the existence of mild solutions, assuming that the nonlinear part satisfies some local growth conditions in ...
He Yang
doaj   +1 more source

Moore-Gibson-Thompson equation, general initial values, nonlinear memory terms, blow-up, test function method

AIMS Mathematics, 2023
This paper is concerned with the study of nonlocal fractional differential equation of sobolev type with impulsive conditions. An associated integral equation is obtained and then considered a sequence of approximate integral equations.
M. Manjula , K. Kaliraj, Thongchai Botmart , Kottakkaran Sooppy Nisar, C. Ravichandran   +4 more
doaj   +1 more source

On the structure of semigroups on $L_p$ with a bounded $H{^\infty}$-calculus

, 2014
We show that a bounded analytic semigroup on an $L_p$-space has a bounded $H^{\infty}(\Sigma_{\varphi})$-calculus for some $\varphi < \frac{\pi}{2}$ if and only if the semigroup can be obtained, after restricting to invariant subspaces, factorizing ...
Fackler, Stephan
core   +1 more source

Wellposedness and controllability results of stochastic integrodifferential equations with noninstantaneous impulses and Rosenblatt process

Fixed Point Theory and Algorithms for Sciences and Engineering, 2023
The purpose of this work is to investigate a novel class of noninstantaneous impulsive stochastic integrodifferential equations (SIDEs) driven by Brownian motion and Rosenblatt process. We construct a new set of adequate assumptions for the existence and
Ravikumar Kasinathan, Ramkumar Kasinathan, Varshini Sandrasekaran, Juan J. Nieto   +3 more
doaj   +1 more source

Well-posedness and Optimal Regularity of Stochastic Evolution Equations with Multiplicative Noises

, 2018
In this paper, we establish the well-posedness and optimal trajectory regularity for the solution of stochastic evolution equations with generalized Lipschitz-type coefficients driven by general multiplicative noises.
Hong, Jialin, Liu, Zhihui
core   +2 more sources

Existence and Stability Results of Stochastic Differential Equations with Non-instantaneous Impulse and Poisson jumps

Nonautonomous Dynamical Systems, 2022
This paper focuses on a new class of non-instantaneous impulsive stochastic differential equations generated by mixed fractional Brownian motion with poisson jump in real separable Hilbert space.
Varshini S., Banupriya K., Ramkumar K., Ravikumar K.   +3 more
doaj   +1 more source

The rigged Hilbert space approach to the Lippmann-Schwinger equation. Part II: The analytic continuation of the Lippmann-Schwinger bras and kets

, 2006
The analytic continuation of the Lippmann-Schwinger bras and kets is obtained and characterized. It is shown that the natural mathematical setting for the analytic continuation of the solutions of the Lippmann-Schwinger equation is the rigged Hilbert ...
Bohm A, Bohm A Kielanowski P Wickramasekara S, Bohm A R de la Madrid R Tay B A Kielanowski P, de la Madrid R, de la Madrid R, Gadella M, Gelfand I M, Hille E, Koosis P, Nussenzveig H M, Paley R, Rafael de la Madrid, Taylor J R   +12 more
core   +1 more source

Semigroups of Composition Operators in Analytic Morrey Spaces [PDF]

Integral Equations and Operator Theory, 2020
Analytic Morrey spaces belong to the class of function spaces which, like BMOA, are defined in terms of the degree of oscillation on the boundary of functions analytic in the unit disc. We consider semigroups of composition operators on these spaces and focus on the question of strong continuity. It is shown that these semigroups behave like on BMOA.
Petros Galanopoulos, Noel Merchán, Aristomenis G. Siskakis   +2 more
openaire   +4 more sources

Advanced control of non‐isothermal axial dispersion tubular reactors with recycle‐induced state delay

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley   +1 more source