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CPAA publishes original research papers of the highest quality in all the major areas of analysis and its applications, with a central theme on theoretical and numeric differential equations. Invited expository articles are also published from time to time. It is edited by a group of energetic leaders to guarantee the journal's highest standard and closest link to the scientific communities.


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Preface to the special issue in honour of Prof. Tomás Caraballo on ocassion of his 60th birthday
María J. Garrido-Atienza, José A. Langa, Pedro Marín Rubio and José Valero
2020, 19(4) : ⅰ-ⅵ doi: 10.3934/cpaa.2020080 +[Abstract](116) +[HTML](3) +[PDF](667.39KB)
Bifurcations in periodic integrodifference equations in $ C(\Omega) $ Ⅱ: Discrete torus bifurcations
Christian Aarset and Christian Pötzsche
2020, 19(4) : 1847-1874 doi: 10.3934/cpaa.2020081 +[Abstract](43) +[HTML](6) +[PDF](1636.03KB)
A mathematical model of chemotherapy with variable infusion
Ismail Abdulrashid and Xiaoying Han
2020, 19(4) : 1875-1890 doi: 10.3934/cpaa.2020082 +[Abstract](43) +[HTML](7) +[PDF](514.32KB)
Elliptic and parabolic problems in thin domains with doubly weak oscillatory boundary
José M. Arrieta and Manuel Villanueva-Pesqueira
2020, 19(4) : 1891-1914 doi: 10.3934/cpaa.2020083 +[Abstract](48) +[HTML](3) +[PDF](424.75KB)
On a delayed epidemic model with non-instantaneous impulses
Liang Bai, Juan J. Nieto and José M. Uzal
2020, 19(4) : 1915-1930 doi: 10.3934/cpaa.2020084 +[Abstract](56) +[HTML](3) +[PDF](356.02KB)
Longtime behavior for 3D Navier-Stokes equations with constant delays
Hakima Bessaih and María J. Garrido-Atienza
2020, 19(4) : 1931-1948 doi: 10.3934/cpaa.2020085 +[Abstract](37) +[HTML](4) +[PDF](346.83KB)
Controllability of the one-dimensional fractional heat equation under positivity constraints
Umberto Biccari, Mahamadi Warma and Enrique Zuazua
2020, 19(4) : 1949-1978 doi: 10.3934/cpaa.2020086 +[Abstract](54) +[HTML](3) +[PDF](3734.8KB)
Stability and forward attractors for non-autonomous impulsive semidynamical systems
Everaldo de Mello Bonotto and Daniela Paula Demuner
2020, 19(4) : 1979-1996 doi: 10.3934/cpaa.2020087 +[Abstract](59) +[HTML](7) +[PDF](353.65KB)
Forwards dynamics of non-autonomous dynamical systems: Driving semigroups without backwards uniqueness and structure of the attractor
Alexandre N. Carvalho, José A. Langa and James C. Robinson
2020, 19(4) : 1997-2013 doi: 10.3934/cpaa.2020088 +[Abstract](37) +[HTML](5) +[PDF](182.73KB)
Dynamics of fermentation models for the production of dry and sweet wine
Renato Colucci and Javier López-de-la-Cruz
2020, 19(4) : 2015-2034 doi: 10.3934/cpaa.2020089 +[Abstract](43) +[HTML](5) +[PDF](2821.1KB)
Nonclassical diffusion with memory lacking instantaneous damping
Monica Conti, Filippo Dell'Oro and Vittorino Pata
2020, 19(4) : 2035-2050 doi: 10.3934/cpaa.2020090 +[Abstract](46) +[HTML](5) +[PDF](370.48KB)
Instability of unidirectional flows for the 2D α-Euler equations
Holger Dullin, Yuri Latushkin, Robert Marangell, Shibi Vasudevan and Joachim Worthington
2020, 19(4) : 2051-2079 doi: 10.3934/cpaa.2020091 +[Abstract](39) +[HTML](4) +[PDF](449.03KB)
Advances in the truncated Euler–Maruyama method for stochastic differential delay equations
Weiyin Fei, Liangjian Hu, Xuerong Mao and Dengfeng Xia
2020, 19(4) : 2081-2100 doi: 10.3934/cpaa.2020092 +[Abstract](42) +[HTML](4) +[PDF](151.93KB)
Theoretical and numerical results for some bi-objective optimal control problems
Enrique Fernández-Cara and Irene Marín-Gayte
2020, 19(4) : 2101-2126 doi: 10.3934/cpaa.2020093 +[Abstract](41) +[HTML](5) +[PDF](1092.94KB)
Pullback attractors for 2D Navier–Stokes equations with delays and the flattening property
Julia García-Luengo and Pedro Marín-Rubio
2020, 19(4) : 2127-2146 doi: 10.3934/cpaa.2020094 +[Abstract](37) +[HTML](5) +[PDF](382.66KB)
PDE problems with concentrating terms near the boundary
Ángela Jiménez-Casas and Aníbal Rodríguez-Bernal
2020, 19(4) : 2147-2195 doi: 10.3934/cpaa.2020095 +[Abstract](56) +[HTML](14) +[PDF](533.33KB)
Chain recurrence and structure of $ \omega $-limit sets of multivalued semiflows
Olexiy V. Kapustyan, Pavlo O. Kasyanov and José Valero
2020, 19(4) : 2197-2217 doi: 10.3934/cpaa.2020096 +[Abstract](32) +[HTML](2) +[PDF](369.34KB)
Attractors for semilinear wave equations with localized damping and external forces
To Fu Ma and Paulo Nicanor Seminario-Huertas
2020, 19(4) : 2219-2233 doi: 10.3934/cpaa.2020097 +[Abstract](61) +[HTML](3) +[PDF](352.32KB)
Lyapunov exponents and Oseledets decomposition in random dynamical systems generated by systems of delay differential equations
Janusz Mierczyński, Sylvia Novo and Rafael Obaya
2020, 19(4) : 2235-2255 doi: 10.3934/cpaa.2020098 +[Abstract](55) +[HTML](3) +[PDF](365.83KB)
Asymptotic behavior of a Cahn-Hilliard/Allen-Cahn system with temperature
Alain Miranville, Ramon Quintanilla and Wafa Saoud
2020, 19(4) : 2257-2288 doi: 10.3934/cpaa.2020099 +[Abstract](47) +[HTML](3) +[PDF](392.05KB)
The stampacchia maximum principle for stochastic partial differential equations forced by lévy noise
Phuong Nguyen and Roger Temam
2020, 19(4) : 2289-2331 doi: 10.3934/cpaa.2020100 +[Abstract](34) +[HTML](4) +[PDF](656.5KB)
Analysis of an anaerobic digestion model in landfill with mortality term
S. Ouchtout, Z. Mghazli, J. Harmand, A. Rapaport and Z. Belhachmi
2020, 19(4) : 2333-2346 doi: 10.3934/cpaa.2020101 +[Abstract](88) +[HTML](5) +[PDF](448.21KB)
Convergence of nonautonomous multivalued problems with large diffusion to ordinary differential inclusions
Jacson Simsen, Mariza Stefanello Simsen and José Valero
2020, 19(4) : 2347-2368 doi: 10.3934/cpaa.2020102 +[Abstract](39) +[HTML](5) +[PDF](379.1KB)
Large deviations for neutral stochastic functional differential equations
Yongqiang Suo and Chenggui Yuan
2020, 19(4) : 2369-2384 doi: 10.3934/cpaa.2020103 +[Abstract](38) +[HTML](6) +[PDF](345.71KB)
Sigmoidal approximations of a delay neural lattice model with Heaviside functions
Xiaoli Wang, Meihua Yang and Peter E. Kloeden
2020, 19(4) : 2385-2402 doi: 10.3934/cpaa.2020104 +[Abstract](39) +[HTML](5) +[PDF](374.27KB)
Sensitivity to small delays of mean square stability for stochastic neutral evolution equations
Wei Wang, Kai Liu and Xiulian Wang
2020, 19(4) : 2403-2418 doi: 10.3934/cpaa.2020105 +[Abstract](42) +[HTML](4) +[PDF](330.99KB)
A general multipurpose interpolation procedure: the magic points
Yvon Maday, Ngoc Cuong Nguyen, Anthony T. Patera and S. H. Pau
2009, 8(1) : 383-404 doi: 10.3934/cpaa.2009.8.383 +[Abstract](3519) +[PDF](826.7KB) Cited By(58)
A Brezis-Nirenberg result for non-local critical equations in low dimension
Raffaella Servadei and Enrico Valdinoci
2013, 12(6) : 2445-2464 doi: 10.3934/cpaa.2013.12.2445 +[Abstract](3268) +[PDF](509.5KB) Cited By(57)
A Liouville type Theorem for an integral system
Dezhong Chen and Li Ma
2006, 5(4) : 855-859 doi: 10.3934/cpaa.2006.5.855 +[Abstract](2652) +[PDF](102.3KB) Cited By(57)
Convergence of generalized proximal point algorithms
Giuseppe Marino and Hong-Kun Xu
2004, 3(4) : 791-808 doi: 10.3934/cpaa.2004.3.791 +[Abstract](2682) +[PDF](181.7KB) Cited By(56)
On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions
Gianni Gilardi, A. Miranville and Giulio Schimperna
2009, 8(3) : 881-912 doi: 10.3934/cpaa.2009.8.881 +[Abstract](2453) +[PDF](395.6KB) Cited By(46)
The two-dimensional Riemann problem for isentropic Chaplygin gas dynamic system$^*$
Lihui Guo, Wancheng Sheng and Tong Zhang
2010, 9(2) : 431-458 doi: 10.3934/cpaa.2010.9.431 +[Abstract](3160) +[PDF](1276.3KB) Cited By(42)
Global weak solutions for a viscous liquid-gas model with singular pressure law
Steinar Evje and Kenneth Hvistendahl Karlsen
2009, 8(6) : 1867-1894 doi: 10.3934/cpaa.2009.8.1867 +[Abstract](2475) +[PDF](318.8KB) Cited By(42)
A result on the existence of global attractors for semigroups of closed operators
V. Pata and Sergey Zelik
2007, 6(2) : 481-486 doi: 10.3934/cpaa.2007.6.481 +[Abstract](2352) +[PDF](113.6KB) Cited By(42)
Asymptotic regularity of solutions of a nonautonomous damped wave equation with a critical growth exponent
Sergey Zelik
2004, 3(4) : 921-934 doi: 10.3934/cpaa.2004.3.921 +[Abstract](2676) +[PDF](176.4KB) Cited By(39)
Uniqueness and boundary behavior of large solutions to elliptic problems with singular weights
M. Chuaqui, C. Cortázar, M. Elgueta and J. García-Melián
2004, 3(4) : 653-662 doi: 10.3934/cpaa.2004.3.653 +[Abstract](2404) +[PDF](152.5KB) Cited By(39)
Random attractors for stochastic parabolic equations with additive noise in weighted spaces
Xiaojun Li, Xiliang Li and Kening Lu
2018, 17(3) : 729-749 doi: 10.3934/cpaa.2018038 +[Abstract](4399) +[HTML](409) +[PDF](462.14KB) PDF Downloads(236)
Semi-exact solutions and pulsating fronts for Lotka-Volterra systems of two competing species in spatially periodic habitats
Chiun-Chuan Chen, Yin-Liang Huang, Li-Chang Hung and Chang-Hong Wu
2020, 19(1) : 1-18 doi: 10.3934/cpaa.2020001 +[Abstract](992) +[HTML](167) +[PDF](460.49KB) PDF Downloads(208)
The properties of positive solutions to semilinear equations involving the fractional Laplacian
Rongrong Yang and Zhongxue Lü
2019, 18(3) : 1073-1089 doi: 10.3934/cpaa.2019052 +[Abstract](2972) +[HTML](214) +[PDF](382.99KB) PDF Downloads(190)
Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis
Norikazu Saito
2012, 11(1) : 339-364 doi: 10.3934/cpaa.2012.11.339 +[Abstract](2439) +[PDF](486.1KB) PDF Downloads(190)
The Nehari manifold for a fractional Laplacian equation involving critical nonlinearities
Qingfang Wang
2018, 17(6) : 2261-2281 doi: 10.3934/cpaa.2018108 +[Abstract](4071) +[HTML](162) +[PDF](409.64KB) PDF Downloads(179)
Coupled systems of Hilfer fractional differential inclusions in banach spaces
Saïd Abbas, Mouffak Benchohra and John R. Graef
2018, 17(6) : 2479-2493 doi: 10.3934/cpaa.2018118 +[Abstract](3210) +[HTML](122) +[PDF](328.43KB) PDF Downloads(177)
Nonlinear wave equation with both strongly and weakly damped terms: Supercritical initial energy finite time blow up
Yanbing Yang and Runzhang Xu
2019, 18(3) : 1351-1358 doi: 10.3934/cpaa.2019065 +[Abstract](2791) +[HTML](254) +[PDF](342.33KB) PDF Downloads(161)
Space-time decay estimates of solutions to liquid crystal system in $\mathbb{R}^3$
Xiaopeng Zhao
2019, 18(1) : 1-13 doi: 10.3934/cpaa.2019001 +[Abstract](3185) +[HTML](157) +[PDF](332.85KB) PDF Downloads(154)
Homoclinic solutions of discrete $ \phi $-Laplacian equations with mixed nonlinearities
Genghong Lin and Zhan Zhou
2018, 17(5) : 1723-1747 doi: 10.3934/cpaa.2018082 +[Abstract](3681) +[HTML](242) +[PDF](490.86KB) PDF Downloads(154)
Multiplicity and concentration of positive solutions for fractional nonlinear Schrödinger equation
Xudong Shang and Jihui Zhang
2018, 17(6) : 2239-2259 doi: 10.3934/cpaa.2018107 +[Abstract](3741) +[HTML](154) +[PDF](391.77KB) PDF Downloads(153)

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