- 期刊
MINIMIZATION OF NONSMOOTH INTEGRAL FUNCTIONALS
摘要
In this paper we examine optimization problems involving multidimensional nonsmooth integral functionals defined on Sobolev spaces. We obtain necessary and sufficient conditions for optimality in convex, finite dimensional problems using techniques from convex analysis and in nonconvex, finite dimensional problems, using the subdifferential of Clarke. We also consider problems with infinite dimensional state space and we finally present two examples.
延伸閱讀
- Zhang, H. Q., Chen, Y., Guo, C. X., & Fu, Z. H. (2014). Application of Radial Basis Function Method for Solving Nonlinear Integral Equations. Journal of Applied Mathematics, 2014(), 236-243-325. https://doi.org/10.1155/2014/381908
- ASHOUR, S. A. (1999). NUMERICAL SOLUTION OF INTEGRAL EQUATIONS WITH FINITE PART INTEGRALS. International Journal of Mathematics and Mathematical Sciences, 1999(), 155-160. https://doi.org/10.1155/S0161171299221552
- DERNEK, A. (1994). MEROMORPHIC UNIVALENT FUNCTION WITH NEGATIVE COEFFICIENT. International Journal of Mathematics and Mathematical Sciences, 1994(), 201-203. https://doi.org/10.1155/S0161171294000293
- Malinowskaa, A. B., & Torres, D. F. M. (2007). Nonessential Functionals in Multiobjective Optimal Control Problems. Proceedings of the Estonian Academy of Sciences. Physics, Mathematics, 56(4), 336-346. https://www.airitilibrary.com/Article/Detail?DocID=14060086-200712-201011080023-201011080023-336-346
- Ashwah, R. M. E. (2012). Subclass of Multivalent Harmonic Functions with Missing Coefficients. International Journal of Mathematics and Mathematical Sciences, 2012(), 717-726-158. https://doi.org/10.1155/2012/915625