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PSEUDO ALMOST PERIODIC SOLUTIONS FOR DIFFERENTIAL EQUATIONS INVOLVING REFLECTION OF THE ARGUMENT

  • Piao, Daxiong (Department of Mathematics Ocean University of China)
  • Published : 2004.07.01

Abstract

In this paper we investigate the existence and uniqueness of almost periodic and pseudo almost periodic solution for nonlinear differential equation with reflection of argument. For the case of almost periodic forced term, we consider the frequency modules of the solutions.

Keywords

References

  1. Asymptotic behavior of solutions of functional-Differential Equations Functional-differential equations with a finite group of argument transformations A. N. Sharkovskii
  2. Int. J. Math. Math. Sci. v.8 Boundary value problems for differential equations with reflection of argument A. R. Afidabizadeh;J. Wiener https://doi.org/10.1155/S016117128500014X
  3. Nonlinear Anal. v.11 Existence and uniquness theorem for boundary value problems involving reflection of the argument C. P. Cupta https://doi.org/10.1016/0362-546X(87)90085-X
  4. Int. J. Math. Math. Sci. v.10 Two point boundary value problems involving reflection of the argument C. P. Cupta https://doi.org/10.1155/S0161171287000425
  5. J. Math. Anal. Appl. v.135 Bounded solutions for Differential Equations with Reflection of the Argument A. R. Afidabizadeh;Y. K. Huang;J. Wiener https://doi.org/10.1016/0022-247X(88)90139-4
  6. J. Marh. Anal. Appl. v.181 Pseudo almost periodic solutions of some differential equations C. Zhang https://doi.org/10.1006/jmaa.1994.1005
  7. thesis, the University of Western Ontario Pseudo almost periodic functions and their applications C. Zhang
  8. Nonlinear Anal. v.27 Exponential dichotomy and existence of pseudo almost periodic solutions of some differential equations E. Ait Dads;O. Arino https://doi.org/10.1016/0362-546X(95)00027-S
  9. Nonlinear Anal. v.28 Pseudo Almost Periodic Solutions for Some Differential Equations in a Banach Space E. Ait Dads;K.Ezzinbi;O. Arino https://doi.org/10.1016/S0362-546X(97)82865-9
  10. Sci. China Ser. A v.44 Pseudo almost periodic solutions for the systems of differential equations with piecewise constant argument D. Piao https://doi.org/10.1007/BF02877433
  11. Chinese Ann. Math. v.20B Pseudo almost periodic solutions of differential equations with piecewise constant argument D. Piao;R. Yuan
  12. Lecture Notes in Math. v.377 Almost Periodic Differential Equations A. M. Fink
  13. Almost Periodic Functions(2nd Ed.) C. Corduneanu
  14. Almost periodic differential functions and differential equations B. M. Levitan;V. V. Zhikov

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  3. Pseudo Almost Automorphic Solutions for Differential Equations Involving Reflection of the Argument vol.2012, 2012, https://doi.org/10.5402/2012/626490
  4. μ-Pseudo-Almost Automorphic Solutions for some Differential Equations with Reflection of the Argument vol.38, pp.3, 2017, https://doi.org/10.1080/01630563.2017.1279175
  5. ASYMPTOTIC EQUIVALENCE OF ALMOST PERIODIC SOLUTIONS FOR A CLASS OF PERTURBED ALMOST PERIODIC SYSTEMS vol.52, pp.03, 2010, https://doi.org/10.1017/S0017089510000443
  6. Nontrivial solutions of Hammerstein integral equations with reflections vol.2013, pp.1, 2013, https://doi.org/10.1186/1687-2770-2013-86
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