Dipòsit Digital de Documents de la UAB 7 registres trobats  La cerca s'ha fet en 0.01 segons. 
1.
14 p, 535.0 KB Beltrami equations in the plane and Sobolev regularity / Prats, Martí (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
New results regarding the Sobolev regularity of the principal solution of the linear Beltrami equation (formula presented) Bf for discontinuous Beltrami coefficients μ and v are obtained, using Kato-Ponce commutators, obtaining that Bf belongs to a Sobolev space with the same smoothness as the coefficients but some loss in the integrability parameter. [...]
2018 - 10.3934/cpaa.2018018
Communications on Pure and Applied Analysis, Vol. 17, Issue 2 (March 2018) , p. 319-332  
2.
13 p, 370.0 KB Existence of at most two limit cycles for some non-autonomous differential equations / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Zhao, Yulin (Sun Yat-sen University. School of Mathematics)
It is know that the non-autonomous differential equations dx/dt = a(t) + b(t)|x|, where a(t) and b(t) are 1-periodic maps of class C1, have no upper bound for their number of limit cycles (isolated solutions satisfying x(0) = x(1)). [...]
2023 - 10.3934/cpaa.2023016
Communications on Pure and Applied Analysis, Vol. 22, Issue 3 (March 2023) , p. 970-982  
3.
28 p, 1.4 MB Orbitally symmetric systems with applications to planar centers / Bastos, Jefferson L. R. (Universidade Estadual Paulista Júlio de Mesquita Filho. Departamento de Matemática) ; Buzzi, Claudio (Universidade Estadual Paulista Júlio de Mesquita Filho. Departamento de Matemática) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We present a generalization of the most usual symmetries in differential equations known as the time-reversibility and the equivariance ones. We check that the typical properties are also valid for the new definition that unifies both. [...]
2021 - 10.3934/cpaa.2021107
Communications on pure & applied analysis, Vol. 20, Issue 10 (October 2021) , p. 3319-3346  
4.
13 p, 856.4 KB Limit cycles of piecewise polynomial differential systems with the discontinuity line xy = 0 / Li, Tao (Southwestern University of Finance and Economics. School of Economic Mathematics (China)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we study the maximum number of limit cycles bifurcating from the periodic orbits of the center x. = −y((x + y)/2), y. = x((x + y)/2) with m ≥ 0 under discontinuous piecewise polynomial (resp. [...]
2021 - 10.3934/cpaa.2021136
Communications on pure & applied analysis, Vol. 20, Issue 11 (November 2021) , p. 3887-3909  
5.
14 p, 670.7 KB Rational limit cycles of Abel equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática (Portugal))
In this paper we deal with Abel equations dy/dx = A(x)y2 + B(x)y3, where A(x) and B(x) are real polynomials. We prove that these Abel equations can have at most three rational limit cycles and we characterize when this happens. [...]
2021 - 10.3934/CPAA.2021007
Communications on pure & applied analysis, Vol. 20, Issue 3 (March 2021) , p. 1077-1089  
6.
15 p, 328.9 KB Subseries and signed series / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
For any positive decreasing to zero sequence a_n such that Ʃa_n diverges we consider the related series Ʃk_na_n and Ʃj_na_n. Here, k_n and j_n are real sequences such that Ʃk_nє{0,1} and j_nє{-1,1}. [...]
2019 - 10.3934/cpaa.2019024
Communications on pure & applied analysis, Vol. 18, issue 1 (Jan. 2019) , p. 479-492  
7.
20 p, 414.4 KB Center problem for systems with two monomial nonlinearities / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We study the center problem for planar systems with a linear center at the origin that in complex coordinates have a nonlinearity formed by the sum of two monomials. Our first result lists several centers inside this family. [...]
2016 - 10.3934/cpaa.2016.15.577
Communications on pure & applied analysis, Vol. 15 Núm. 2 (2016) , p. 577-598  

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