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Asymptotic solutions of a nonlinear stochastic beam equation
1.  Department of Mathematics, Wayne State University, Detroit, MI 48202, United States 
[1] 
Frederic Abergel, Remi Tachet. A nonlinear partial integrodifferential equation from mathematical finance. Discrete and Continuous Dynamical Systems, 2010, 27 (3) : 907917. doi: 10.3934/dcds.2010.27.907 
[2] 
Giuseppe Maria Coclite, Mario Michele Coclite. Positive solutions of an integrodifferential equation in all space with singular nonlinear term. Discrete and Continuous Dynamical Systems, 2008, 22 (4) : 885907. doi: 10.3934/dcds.2008.22.885 
[3] 
Samir K. Bhowmik, Dugald B. Duncan, Michael Grinfeld, Gabriel J. Lord. Finite to infinite steady state solutions, bifurcations of an integrodifferential equation. Discrete and Continuous Dynamical Systems  B, 2011, 16 (1) : 5771. doi: 10.3934/dcdsb.2011.16.57 
[4] 
Miloud Moussai. Application of the bernstein polynomials for solving the nonlinear fractional type Volterra integrodifferential equation with caputo fractional derivatives. Numerical Algebra, Control and Optimization, 2021 doi: 10.3934/naco.2021021 
[5] 
Walter Allegretto, John R. Cannon, Yanping Lin. A parabolic integrodifferential equation arising from thermoelastic contact. Discrete and Continuous Dynamical Systems, 1997, 3 (2) : 217234. doi: 10.3934/dcds.1997.3.217 
[6] 
Narcisa Apreutesei, Nikolai Bessonov, Vitaly Volpert, Vitali Vougalter. Spatial structures and generalized travelling waves for an integrodifferential equation. Discrete and Continuous Dynamical Systems  B, 2010, 13 (3) : 537557. doi: 10.3934/dcdsb.2010.13.537 
[7] 
Shihchung Chiang. Numerical optimal unbounded control with a singular integrodifferential equation as a constraint. Conference Publications, 2013, 2013 (special) : 129137. doi: 10.3934/proc.2013.2013.129 
[8] 
Olivier Bonnefon, Jérôme Coville, Jimmy Garnier, Lionel Roques. Inside dynamics of solutions of integrodifferential equations. Discrete and Continuous Dynamical Systems  B, 2014, 19 (10) : 30573085. doi: 10.3934/dcdsb.2014.19.3057 
[9] 
Tomás Caraballo, José Real, T. Taniguchi. The exponential stability of neutral stochastic delay partial differential equations. Discrete and Continuous Dynamical Systems, 2007, 18 (2&3) : 295313. doi: 10.3934/dcds.2007.18.295 
[10] 
Ji Shu, Linyan Li, Xin Huang, Jian Zhang. Limiting behavior of fractional stochastic integroDifferential equations on unbounded domains. Mathematical Control and Related Fields, 2021, 11 (4) : 715737. doi: 10.3934/mcrf.2020044 
[11] 
Tomás Caraballo, Carlos Ogouyandjou, Fulbert Kuessi Allognissode, Mamadou Abdoul Diop. Existence and exponential stability for neutral stochastic integro–differential equations with impulses driven by a Rosenblatt process. Discrete and Continuous Dynamical Systems  B, 2020, 25 (2) : 507528. doi: 10.3934/dcdsb.2019251 
[12] 
Tonny Paul, A. Anguraj. Existence and uniqueness of nonlinear impulsive integrodifferential equations. Discrete and Continuous Dynamical Systems  B, 2006, 6 (5) : 11911198. doi: 10.3934/dcdsb.2006.6.1191 
[13] 
Sertan Alkan. A new solution method for nonlinear fractional integrodifferential equations. Discrete and Continuous Dynamical Systems  S, 2015, 8 (6) : 10651077. doi: 10.3934/dcdss.2015.8.1065 
[14] 
Liang Zhang, Bingtuan Li. Traveling wave solutions in an integrodifferential competition model. Discrete and Continuous Dynamical Systems  B, 2012, 17 (1) : 417428. doi: 10.3934/dcdsb.2012.17.417 
[15] 
Yi Cao, Jianhua Wu, Lihe Wang. Fundamental solutions of a class of homogeneous integrodifferential elliptic equations. Discrete and Continuous Dynamical Systems, 2019, 39 (3) : 12371256. doi: 10.3934/dcds.2019053 
[16] 
Yubo Chen, Wan Zhuang. The extreme solutions of PBVP for integrodifferential equations with caratheodory functions. Conference Publications, 1998, 1998 (Special) : 160166. doi: 10.3934/proc.1998.1998.160 
[17] 
Tianling Jin, Jingang Xiong. Schauder estimates for solutions of linear parabolic integrodifferential equations. Discrete and Continuous Dynamical Systems, 2015, 35 (12) : 59775998. doi: 10.3934/dcds.2015.35.5977 
[18] 
Patricio Felmer, Ying Wang. Qualitative properties of positive solutions for mixed integrodifferential equations. Discrete and Continuous Dynamical Systems, 2019, 39 (1) : 369393. doi: 10.3934/dcds.2019015 
[19] 
Leif Arkeryd, Raffaele Esposito, Rossana Marra, Anne Nouri. Exponential stability of the solutions to the Boltzmann equation for the Benard problem. Kinetic and Related Models, 2012, 5 (4) : 673695. doi: 10.3934/krm.2012.5.673 
[20] 
Michel Chipot, Senoussi Guesmia. On a class of integrodifferential problems. Communications on Pure and Applied Analysis, 2010, 9 (5) : 12491262. doi: 10.3934/cpaa.2010.9.1249 
2020 Impact Factor: 1.327
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