Measure pseudo affine-periodic solutions of semilinear differential equations
Xia, Zhinan ; Li, Zihui ; Wang, Dingjiang
Mathematical Communications, Tome 23 (2018) no. 2, p. 259-277 / Harvested from Mathematical Communications
Text on Mathematical Communications
In this paper, we introduce the concept of pseudo affine-periodic functionvia measure theory, that is measure pseudo $(Q, T)$-affine-periodic function.Existence, uniqueness of measure pseudo $(Q, T)$-affine-periodic solutionfor semilinear  differential equations are investigated.The working tools are based on the  Banach contraction mapping principleand Leray-Schauder alternative theorem.Finally, an example is presented to illustrate the main findings.
Publié le : 2018-04-11
Classification:  Measure pseudo affine-periodic function, measure theory, exponential dichotomy, Banach contraction mapping principle, Leray-Schauder alternative theorem,  65L05, 34D05 
@article{mc2065,
     author = {Xia, Zhinan and Li, Zihui and Wang, Dingjiang},
     title = {Measure pseudo affine-periodic solutions of semilinear differential equations},
     journal = {Mathematical Communications},
     volume = {23},
     number = {2},
     year = {2018},
     pages = { 259-277},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc2065}
}

Xia, Zhinan; Li, Zihui; Wang, Dingjiang. Measure pseudo affine-periodic solutions of semilinear differential equations. Mathematical Communications, Tome 23 (2018) no. 2, pp.  259-277. http://gdmltest.u-ga.fr/item/mc2065/