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Dispersive type estimates for fourier integrals and applications to hyperbolic systems
Particular solution to the EulerCauchy equation with polynomial nonhomegeneities
1.  Department of Mathematics, 5245 N. Backer Ave, M/S PB 108, Fresno, CA 937408001, United States, United States 
[1] 
S. Huff, G. Olumolode, N. Pennington, A. Peterson. Oscillation of an EulerCauchy dynamic equation. Conference Publications, 2003, 2003 (Special) : 423431. doi: 10.3934/proc.2003.2003.423 
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Nadia Lekrine, ChaoJiang Xu. Gevrey regularizing effect of the Cauchy problem for noncutoff homogeneous Kac's equation. Kinetic and Related Models, 2009, 2 (4) : 647666. doi: 10.3934/krm.2009.2.647 
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Guowei Dai, Ruyun Ma. Unilateral global bifurcation for $p$Laplacian with non$p$1linearization nonlinearity. Discrete and Continuous Dynamical Systems, 2015, 35 (1) : 99116. doi: 10.3934/dcds.2015.35.99 
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Zhiming Guo, ZhiChun Yang, Xingfu Zou. Existence and uniqueness of positive solution to a nonlocal differential equation with homogeneous Dirichlet boundary conditionA nonmonotone case. Communications on Pure and Applied Analysis, 2012, 11 (5) : 18251838. doi: 10.3934/cpaa.2012.11.1825 
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Shaoyong Lai, Yong Hong Wu. The asymptotic solution of the Cauchy problem for a generalized Boussinesq equation. Discrete and Continuous Dynamical Systems  B, 2003, 3 (3) : 401408. doi: 10.3934/dcdsb.2003.3.401 
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Yanqin Xiong, Maoan Han. Planar quasihomogeneous polynomial systems with a given weight degree. Discrete and Continuous Dynamical Systems, 2016, 36 (7) : 40154025. doi: 10.3934/dcds.2016.36.4015 
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Hebai Chen, Jaume Llibre, Yilei Tang. Centers of discontinuous piecewise smooth quasi–homogeneous polynomial differential systems. Discrete and Continuous Dynamical Systems  B, 2019, 24 (12) : 64956509. doi: 10.3934/dcdsb.2019150 
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Jackson Itikawa, Jaume Llibre. Global phase portraits of uniform isochronous centers with quartic homogeneous polynomial nonlinearities. Discrete and Continuous Dynamical Systems  B, 2016, 21 (1) : 121131. doi: 10.3934/dcdsb.2016.21.121 
[9] 
Yilei Tang, Long Wang, Xiang Zhang. Center of planar quintic quasihomogeneous polynomial differential systems. Discrete and Continuous Dynamical Systems, 2015, 35 (5) : 21772191. doi: 10.3934/dcds.2015.35.2177 
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Jaume Giné, Maite Grau, Jaume Llibre. Polynomial and rational first integrals for planar quasihomogeneous polynomial differential systems. Discrete and Continuous Dynamical Systems, 2013, 33 (10) : 45314547. doi: 10.3934/dcds.2013.33.4531 
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Belkacem SaidHouari, Radouane Rahali. Asymptotic behavior of the solution to the Cauchy problem for the Timoshenko system in thermoelasticity of type III. Evolution Equations and Control Theory, 2013, 2 (2) : 423440. doi: 10.3934/eect.2013.2.423 
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Jaume Llibre, Jesús S. Pérez del Río, J. Angel Rodríguez. Structural stability of planar semihomogeneous polynomial vector fields applications to critical points and to infinity. Discrete and Continuous Dynamical Systems, 2000, 6 (4) : 809828. doi: 10.3934/dcds.2000.6.809 
[13] 
Gabriela Jaramillo. Inhomogeneities in 3 dimensional oscillatory media. Networks and Heterogeneous Media, 2015, 10 (2) : 387399. doi: 10.3934/nhm.2015.10.387 
[14] 
Renjun Duan, Shuangqian Liu. Cauchy problem on the VlasovFokkerPlanck equation coupled with the compressible Euler equations through the friction force. Kinetic and Related Models, 2013, 6 (4) : 687700. doi: 10.3934/krm.2013.6.687 
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Laurent Denis, Anis Matoussi, Jing Zhang. The obstacle problem for quasilinear stochastic PDEs with nonhomogeneous operator. Discrete and Continuous Dynamical Systems, 2015, 35 (11) : 51855202. doi: 10.3934/dcds.2015.35.5185 
[16] 
Léo Glangetas, HaoGuang Li, ChaoJiang Xu. Sharp regularity properties for the noncutoff spatially homogeneous Boltzmann equation. Kinetic and Related Models, 2016, 9 (2) : 299371. doi: 10.3934/krm.2016.9.299 
[17] 
Demetris Hadjiloucas. Stochastic matrixvalued cocycles and nonhomogeneous Markov chains. Discrete and Continuous Dynamical Systems, 2007, 17 (4) : 731738. doi: 10.3934/dcds.2007.17.731 
[18] 
Rossella Bartolo, Anna Maria Candela, Addolorata Salvatore. Infinitely many radial solutions of a nonhomogeneous $p$Laplacian problem. Conference Publications, 2013, 2013 (special) : 5159. doi: 10.3934/proc.2013.2013.51 
[19] 
Corentin Audiard. On the nonhomogeneous boundary value problem for Schrödinger equations. Discrete and Continuous Dynamical Systems, 2013, 33 (9) : 38613884. doi: 10.3934/dcds.2013.33.3861 
[20] 
Christine Chambers, Nassif Ghoussoub. Deformation from symmetry and multiplicity of solutions in nonhomogeneous problems. Discrete and Continuous Dynamical Systems, 2002, 8 (1) : 267281. doi: 10.3934/dcds.2002.8.267 
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