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1

Well-posedness and dynamics of a fractional stochastic integro-differential equation

Liu, Linfang, Caraballo, Tomás

Journal:

Physica D: Nonlinear Phenomena

Year:

2017

Language:

english

File:

PDF, 525 KB

english, 2017

2

Exponentially Stable Stationary Solutions for Stochastic Evolution Equations and Their Perturbation

Tomás Caraballo, Peter E. Kloeden, Björn Schmalfuß

Journal:

Applied Mathematics & Optimization

Year:

2004

Language:

english

File:

PDF, 291 KB

english, 2004

3

[Springer Proceedings in Mathematics & Statistics] Differential and Difference Equations with Applications Volume 230 ||

Pinelas, Sandra, Caraballo, Tomás, Kloeden, Peter, Graef, John R.

Year:

2018

Language:

english

File:

PDF, 10.18 MB

english, 2018

4

Analysis of a stochastic SIR model with fractional Brownian motion

Caraballo, Tomás, Keraani, Sami

Journal:

Stochastic Analysis and Applications

Year:

2018

Language:

english

File:

PDF, 1.19 MB

english, 2018

5

Existence of exponentially attracting stationary solutions for delay evolution equations

Schmalfuss, B., Garrido-Atienza, M., Caraballo, Tomás

Journal:

Discrete and Continuous Dynamical Systems

Year:

2007

Language:

english

File:

PDF, 266 KB

english, 2007

6

Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise

Caraballo, Tomás, Han, Xiaoying, Schmalfuss, Björn, Valero, José

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2016

Language:

english

File:

PDF, 727 KB

english, 2016

7

On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems

Caraballo, Tomás, Morillas, Francisco, Valero, José

Journal:

Discrete and Continuous Dynamical Systems

Year:

2013

Language:

english

File:

PDF, 489 KB

english, 2013

8

Non-autonomous nonlocal partial differential equations with delay and memory

Xu, Jiaohui, Zhang, Zhengce, Caraballo, TomÃ¡s

Journal:

Journal of Differential Equations

Year:

2021

File:

PDF, 495 KB

2021

9

Discretization of Asymptotically Stable Stationary Solutions of Delay Differential Equations with a Random Stationary Delay

Tomás Caraballo, Peter E. Kloeden, José Real

Journal:

Journal of Dynamics and Differential Equations

Year:

2006

Language:

english

File:

PDF, 172 KB

english, 2006

10

Practical exponential stability of impulsive stochastic functional differential equations

Caraballo, Tomás, Hammami, Mohamed Ali, Mchiri, Lassaad

Journal:

Systems & Control Letters

Year:

2017

Language:

english

File:

PDF, 449 KB

english, 2017

11

On the practical global uniform asymptotic stability of stochastic differential equations

Caraballo, Tomás, Hammami, Mohamed Ali, Mchiri, Lassaad

Journal:

Stochastics An International Journal of Probability and Stochastic Processes

Year:

2015

Language:

english

File:

PDF, 120 KB

english, 2015

12

Invariant Manifolds for Random and Stochastic Partial Differential Equations

Caraballo, Tomás, Duany, Jinqiao, Lu, Kening, Schmalfuβ, Björn

Journal:

Advanced Nonlinear Studies

Year:

2010

Language:

english

File:

PDF, 351 KB

english, 2010

13

Morse Decomposition of Attractors for Non-autonomous Dynamical Systems

Caraballo, Tomás, Jara, Juan C., Langa, José A., Liu, Zhenxin

Journal:

Advanced Nonlinear Studies

Year:

2013

Language:

english

File:

PDF, 196 KB

english, 2013

14

On stabilization of partial differential equations by noise

Caraballo, Tomás, Liu, Kai, Mao, Xuerong

Journal:

Nagoya Mathematical Journal

Year:

2001

Language:

english

File:

PDF, 169 KB

english, 2001

15

[Springer Proceedings in Mathematics & Statistics] Differential and Difference Equations with Applications Volume 230 || The Fuzzy Henstock–Kurzweil Delta Integral on Time Scales

Pinelas, Sandra, Caraballo, Tomás, Kloeden, Peter, Graef, John R.

Year:

2018

Language:

english

File:

PDF, 245 KB

english, 2018

16

A free boundary tumor model with time dependent nutritional supply

Sun, Wenlong, Caraballo, Tomás, Han, Xiaoying, Kloeden, Peter E.

Journal:

Nonlinear Analysis: Real World Applications

Year:

2020

Language:

english

File:

PDF, 791 KB

english, 2020

17

Nonautonomous Chemostats with Variable Delays

Caraballo, Tomás, Han, Xiaoying, Kloeden, Peter E.

Journal:

SIAM Journal on Mathematical Analysis

Year:

2015

Language:

english

File:

PDF, 249 KB

english, 2015

18

Existence and asymptotic behavior of solutions for neutral stochastic partial integrodifferential equations with infinite delays

Diop, Mamadou Abdoul, Caraballo, Tomás, Zene, Mahamat Mahamat

Journal:

Stochastics and Dynamics

Year:

2015

Language:

english

File:

PDF, 247 KB

english, 2015

19

Pullback attractors for non-autonomous 2D-Navier–Stokes equations in some unbounded domains

Tomás Caraballo, Grzegorz Łukaszewicz, José Real

Journal:

Comptes Rendus Mathematique

Year:

2006

File:

PDF, 89 KB

2006

20

Impulsive non-autonomous dynamical systems and impulsive cocycle attractors

Bonotto, Everaldo M., Bortolan, Matheus C., Caraballo, Tomás, Collegari, Rodolfo

Journal:

Mathematical Methods in the Applied Sciences

Year:

2016

Language:

english

File:

PDF, 345 KB

english, 2016

21

Attractors for Differential Equations with Variable Delays

Tomás Caraballo, José A. Langa, James C. Robinson

Journal:

Journal of Mathematical Analysis and Applications

Year:

2001

Language:

english

File:

PDF, 127 KB

english, 2001

22

On the structure of the global attractor for non-autonomous difference equations with weak convergence

Caraballo, Tomás, Cheban, David

Journal:

Journal of Difference Equations and Applications

Year:

2012

Language:

english

File:

PDF, 201 KB

english, 2012

23

Stability of delay evolution equations with stochastic perturbations

Caraballo, Tomás, Shaikhet, Leonid

Journal:

Communications on Pure and Applied Analysis

Year:

2014

Language:

english

File:

PDF, 173 KB

english, 2014

24

[Springer Proceedings in Mathematics & Statistics] Differential and Difference Equations with Applications Volume 230 || A Certain Class of Harmonic Mappings Related to Functions of Bounded Radius Rotation

Pinelas, Sandra, Caraballo, Tomás, Kloeden, Peter, Graef, John R.

Year:

2018

Language:

english

File:

PDF, 185 KB

english, 2018

25

Attractivity for neutral functional differential equations

Caraballo, Tomás, Kiss, Gábor

Journal:

Discrete and Continuous Dynamical Systems - Series B

Year:

2013

Language:

english

File:

PDF, 348 KB

english, 2013

26

[Springer Proceedings in Mathematics & Statistics] Differential and Difference Equations with Applications Volume 230 || Division by Zero Calculus and Differential Equations

Pinelas, Sandra, Caraballo, Tomás, Kloeden, Peter, Graef, John R.

Year:

2018

Language:

english

File:

PDF, 224 KB

english, 2018

27

Attractors for stochastic lattice dynamical systems with a multiplicative noise

Tomás Caraballo, Kening Lu

Journal:

Frontiers of Mathematics in China

Year:

2008

Language:

english

File:

PDF, 223 KB

english, 2008

28

Stability results for 2D Navier–Stokes equations with unbounded delay

Liu, Linfang, Caraballo, Tomás, Marín-Rubio, Pedro

Journal:

Journal of Differential Equations

Year:

2018

Language:

english

File:

PDF, 946 KB

english, 2018

29

Applying the random variable transformation method to solve a class of random linear differential equation with discrete delay

Caraballo, Tomás, Cortés, J.-C., Navarro-Quiles, A.

Journal:

Applied Mathematics and Computation

Year:

2019

Language:

english

File:

PDF, 1.23 MB

english, 2019

30

Nonlinear Partial Functional Differential Equations: Existence and Stability

Tomás Caraballo

Journal:

Journal of Mathematical Analysis and Applications

Year:

2001

Language:

english

File:

PDF, 169 KB

english, 2001

31

Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. I

Tomás Caraballo, David Cheban

Journal:

Journal of Differential Equations

Year:

2009

Language:

english

File:

PDF, 205 KB

english, 2009

32

Existence of Mild Solutions to Stochastic Delay Evolution Equations with a Fractional Brownian Motion and Impulses

Boudaoui, Ahmed, Caraballo, Tomás, Ouahab, Abdelghani

Journal:

Stochastic Analysis and Applications

Year:

2015

Language:

english

File:

PDF, 155 KB

english, 2015

33

Global and cocycle attractors for non-autonomous reaction-diffusion equations. The case of null upper Lyapunov exponent

Caraballo, Tomás, Langa, José A., Obaya, Rafael, Sanz, Ana M.

Journal:

Journal of Differential Equations

Year:

2018

Language:

english

File:

PDF, 1.62 MB

english, 2018

34

[Springer Proceedings in Mathematics & Statistics] Differential and Difference Equations with Applications Volume 230 || Optimality Conditions for Multidimensional Variational Problems Involving the Caputo-Type Fractional Derivative

Pinelas, Sandra, Caraballo, Tomás, Kloeden, Peter, Graef, John R.

Year:

2018

Language:

english

File:

PDF, 182 KB

english, 2018

35

Pullback attractors for stochastic heat equations in materials with memory

Chueshov, I., Real, José, Caraballo, Tomás

Journal:

Discrete and Continuous Dynamical Systems - Series B

Year:

2008

Language:

english

File:

PDF, 230 KB

english, 2008

36

Impulsive stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay

Boudaoui, Ahmed, Caraballo, Tomás, Ouahab, Abdelghani

Journal:

Mathematical Methods in the Applied Sciences

Year:

2016

Language:

english

File:

PDF, 296 KB

english, 2016

37

Dynamics of a stochastic coronavirus (COVID-19) epidemic model with Markovian switching

Boukanjime, Brahim, Caraballo, Tomas, Fatini, Mohamed El, Khalifi, Mohamed El

Journal:

Chaos, Solitons & Fractals

Year:

2020

File:

PDF, 2.05 MB

2020

38

Asymptotic exponential stability of stochastic partial differential equations with delay

Caraballo, TomáS

Journal:

Stochastics An International Journal of Probability and Stochastic Processes

Year:

1990

Language:

english

File:

PDF, 707 KB

english, 1990

39

Upper semicontinuity of attractors for small random perturbations of dynamical systems

Caraballo, Tomas, Langa, Josk A., Robinson, James C.

Journal:

Communications in Partial Differential Equations

Year:

1998

Language:

english

File:

PDF, 3.02 MB

english, 1998

40

Practical Stability of Stochastic Delay Evolution Equations

Caraballo, Tomás, Hammami, Mohamed Ali, Mchiri, Lassad

Journal:

Acta Applicandae Mathematicae

Year:

2016

Language:

english

File:

PDF, 950 KB

english, 2016

41

Stochastic stabilization of differential systems with general decay rate

Tomás Caraballo, Marı́a J. Garrido-Atienza, José Real

Journal:

Systems & Control Letters

Year:

2003

Language:

english

File:

PDF, 175 KB

english, 2003

42

Asymptotic behaviour of nonlocal p -Laplacian reaction–diffusion problems

Caraballo, Tomás, Herrera-Cobos, Marta, Marín-Rubio, Pedro

Journal:

Journal of Mathematical Analysis and Applications

Year:

2017

Language:

english

File:

PDF, 1.01 MB

english, 2017

43

Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions

Caraballo, Tomás, Garrido–Atienza, María, Schmalfuss, Björn, Valero, José

Journal:

Discrete and Continuous Dynamical Systems - Series B

Year:

2010

Language:

english

File:

PDF, 225 KB

english, 2010

44

Chemostats with random inputs and wall growth

Caraballo, Tomás, Han, Xiaoying, Kloeden, Peter E.

Journal:

Mathematical Methods in the Applied Sciences

Year:

2015

Language:

english

File:

PDF, 203 KB

english, 2015

45

[Springer Proceedings in Mathematics & Statistics] Differential and Difference Equations with Applications Volume 230 || Oscillation of Third-Order Nonlinear Neutral Differential Equations

Pinelas, Sandra, Caraballo, Tomás, Kloeden, Peter, Graef, John R.

Year:

2018

Language:

english

File:

PDF, 217 KB

english, 2018

46

Practical exponential stability in mean square of stochastic partial differential equations

Caraballo, Tomás, Hammami, Mohamed Ali, Mchiri, Lassaad

Journal:

Collectanea Mathematica

Year:

2015

Language:

english

File:

PDF, 191 KB

english, 2015

47

Stability and random attractors for a reaction-diffusion equation with multiplicative noise

Robinson, James, Langa, José, Caraballo, Tomás

Journal:

Discrete and Continuous Dynamical Systems

Year:

2000

Language:

english

File:

PDF, 251 KB

english, 2000

48

Almost periodic motions in semi-group dynamical systems and Bohr/Levitan almost periodic solutions of linear difference equations without Favard's separation condition

Caraballo, Tomás, Cheban, David

Journal:

Journal of Difference Equations and Applications

Year:

2013

Language:

english

File:

PDF, 256 KB

english, 2013

49

[Springer Proceedings in Mathematics & Statistics] Differential and Difference Equations with Applications Volume 230 || Hermite–Fejer Polynomials as an Approximate Solution of Singular Integro-Differential Equations

Pinelas, Sandra, Caraballo, Tomás, Kloeden, Peter, Graef, John R.

Year:

2018

Language:

english

File:

PDF, 221 KB

english, 2018

50

Synchronization of a Stochastic Reaction‐Diffusion System on a Thin Two‐Layer Domain

Caraballo, Tomás, Chueshov, Igor D., Kloeden, Peter E.

Journal:

SIAM Journal on Mathematical Analysis

Year:

2007

Language:

english

File:

PDF, 247 KB

english, 2007

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