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Communications on Pure & Applied Analysis

September 2011 , Volume 10 , Issue 5

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Preface
Zhaosheng Feng and Wei Feng
2011, 10(5): i-ii doi: 10.3934/cpaa.2011.10.5i +[Abstract](712) +[PDF](104.4KB)
$H^{1,p}$-eigenvalues and $L^\infty$-estimates in quasicylindrical domains
Antonio Vitolo
2011, 10(5): 1315-1329 doi: 10.3934/cpaa.2011.10.1315 +[Abstract](740) +[PDF](379.0KB)
Existence of chaos in weakly quasilinear systems
Y. Charles Li
2011, 10(5): 1331-1344 doi: 10.3934/cpaa.2011.10.1331 +[Abstract](807) +[PDF](357.8KB)
Exterior differential systems and prolongations for three important nonlinear partial differential equations
Paul Bracken
2011, 10(5): 1345-1360 doi: 10.3934/cpaa.2011.10.1345 +[Abstract](1070) +[PDF](329.9KB)
Stability of linear differential equations with a distributed delay
Leonid Berezansky and Elena Braverman
2011, 10(5): 1361-1375 doi: 10.3934/cpaa.2011.10.1361 +[Abstract](1057) +[PDF](397.9KB)
Duffing--van der Pol--type oscillator system and its first integrals
Zhaosheng Feng, Guangyue Gao and Jing Cui
2011, 10(5): 1377-1391 doi: 10.3934/cpaa.2011.10.1377 +[Abstract](1175) +[PDF](366.3KB)
Periodic solutions for $p$-Laplacian systems of Liénard-type
Wenbin Liu and Zhaosheng Feng
2011, 10(5): 1393-1400 doi: 10.3934/cpaa.2011.10.1393 +[Abstract](955) +[PDF](334.8KB)
Nonautonomous resonant periodic systems with indefinite linear part and a nonsmooth potential
D. Motreanu, V. V. Motreanu and Nikolaos S. Papageorgiou
2011, 10(5): 1401-1414 doi: 10.3934/cpaa.2011.10.1401 +[Abstract](916) +[PDF](364.1KB)
Asymptotic dynamics of reversible cubic autocatalytic reaction-diffusion systems
Yuncheng You
2011, 10(5): 1415-1445 doi: 10.3934/cpaa.2011.10.1415 +[Abstract](1156) +[PDF](542.3KB)
Stability analysis of inhomogeneous equilibrium for axially and transversely excited nonlinear beam
Emine Kaya, Eugenio Aulisa, Akif Ibragimov and Padmanabhan Seshaiyer
2011, 10(5): 1447-1462 doi: 10.3934/cpaa.2011.10.1447 +[Abstract](1180) +[PDF](597.1KB)
Global attractors of reaction-diffusion systems modeling food chain populations with delays
Wei Feng, C. V. Pao and Xin Lu
2011, 10(5): 1463-1478 doi: 10.3934/cpaa.2011.10.1463 +[Abstract](844) +[PDF](749.4KB)
On a mathematical model arising from competition of Phytoplankton species for a single nutrient with internal storage: steady state analysis
Sze-Bi Hsu and Feng-Bin Wang
2011, 10(5): 1479-1501 doi: 10.3934/cpaa.2011.10.1479 +[Abstract](814) +[PDF](495.1KB)
A particle method and numerical study of a quasilinear partial differential equation
Roberto Camassa, Pao-Hsiung Chiu, Long Lee and W.-H. Sheu
2011, 10(5): 1503-1515 doi: 10.3934/cpaa.2011.10.1503 +[Abstract](1410) +[PDF](640.8KB)
Structural parameter optimization of linear elastic systems
David Russell
2011, 10(5): 1517-1536 doi: 10.3934/cpaa.2011.10.1517 +[Abstract](962) +[PDF](548.9KB)
Fluctuation and extinction dynamics in host-microparasite systems
Kaifa Wang and Yang Kuang
2011, 10(5): 1537-1548 doi: 10.3934/cpaa.2011.10.1537 +[Abstract](855) +[PDF](457.7KB)

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