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Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 7
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Articles

Optimization of higher order differential inclusions with initial value problem

Pages 1215-1228 | Received 06 Mar 2016, Accepted 20 Apr 2016, Published online: 09 May 2016

References

  • Agarwal RP, O'Regan D. Viable solutions of differential inclusions on closed sets. Appl. Anal. 2004;83:1027–1036.10.1080/00036810410001724625
  • Kurzhanski AB, Veliov VM, editors. Set-valued analysis and differential inclusions. Boston (MA): Birkhaeuser; 1993.
  • Ladas G, Lakshmikanthan V. Asymptotic equilibrium of ordinary differential systems. Appl. Anal. 2000;5:33–39.
  • Mahmudov EN. Optimal control of Cauchy problem for first-order discrete and partial differential inclusions. J. Dyn. Control Syst. 2009;15:587–610.10.1007/s10883-009-9073-0
  • Mahmudov EN. Sufficient conditions for optimality for differential inclusions of parabolic type and duality. J. Global Optim. 2008;41:31–42.10.1007/s10898-007-9164-y
  • Mahmudov EN. Locally adjoint mappings and optimization of the first boundary value problem for hyperbolic type discrete and differential inclusions. Nonlinear Anal.: Theory Methods Appl. 2007;67:2966–2981.10.1016/j.na.2006.09.054
  • Mahmudov EN. Necessary and sufficient conditions for discrete and differential inclusions of elliptic type. J. Math. Anal. Appl. 2006;323:768–789.10.1016/j.jmaa.2005.10.069
  • Mahmudov EN. Approximation and optimization of discrete and differential inclusions. Waltham (MA): Elsevier; 2011.
  • Mahmudov EN. Approximation and optimization of discrete and differential inclusions described by inequality constraints. Optimization. 2014;63:1117–1133.10.1080/02331934.2012.713360
  • Mordukhovich BS. Variational analysis and generalized differentiation, I: basic theory; II: applications, Grundlehren series (fundamental principles of mathematical sciences). Vol. 330, 331. Berlin: Springer; 2006.10.1007/3-540-31246-3
  • Cubiotti P, Yao JC. Two-point problem for vector differential inclusions with discontinuous right-hand side. Appl. Anal. 2014;93:1811–1823.10.1080/00036811.2013.850493
  • Mahmudov EN. Approximation and optimization of higher order discrete and differential inclusions. Nonlinear Differ. Equ. Appl. 2014;21:1–26.10.1007/s00030-013-0234-1
  • Mahmudov EN. Mathematical programming and polyhedral optimization of second order discrete and differential inclusions. Pacific J. Optim. 2015;11:495–525.
  • Mahmudov EN. Optimization of second order discrete approximation inclusions. Numer. Funct. Anal. Optim. 2015;36:624–643.10.1080/01630563.2015.1014048
  • Mahmudov EN, Demir S, Değer Ö. Optimization of third-order discrete and differential inclusions described by polyhedral set-valued mappings. Appl. Anal. doi:10.1080/00036811.2015.1074188
  • Auslender A, Mechler J. Second order viability problems for differential inclusions. J. Math. Anal. Appl. 1994;181:205–218.10.1006/jmaa.1994.1015
  • Azzam-Laouir D, Lounis S, Thibault L. Existence solutions for second-order differential inclusions with nonconvex perturbations. Appl. Anal. 2011;89:1199–1210. doi:10.1080/00036810701460511
  • Dhage BC, Graef JR. On boundary-value problems for second order perturbed differential inclusions. Appl. Anal. 2005;84:953–970.10.1080/00036810500136197
  • Zykov PS. On two-point boundary value problems for second-order differential inclusions on manifolds. Appl. Anal. 2009;88:895–902.10.1080/00036810903042232

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