References
- Gawarecki, L., Mandrekar, V. (2011). Stochastic Differential Equations in Infinite Dimensions: With Applications to Stochastic Partial Differential Equations. Berlin, Heidelberg: Springer.
- Kisielewicz, M. (2013). Stochastic Differential Inclusions and Applications. New York: Springer.
- Da Prato, G., Zabczyk, J., Stochastic Equations in Infinite Dimensions. Cambridge: Cambridge University Press.
- Zhou, Y., Vijayakumar, V., Murugesu, R. (2015). Controllability for fractional evolution inclusions without compactness. Evol. Equ. Control Theor. 4:507–524.
- Aronszajn, N. (1942). Le correspondant topologique de l’unicité dans la théorie des équations différentielles. Ann. Math. 43:730–738.
- Bothe, D. (1998). Multi-valued perturbations of m-accretive differential inclusions. Isr. J. Math. 108:109–138.
- Deimling, K. (1992). Multivalued Differential Equations. Berlin: de Gruyter.
- Hu, S. C., Papageorgiou, N. S. (1994). On the topological regularity of the solution set of differential inclusions with constraints. J. Diff. Eq. 107:280–289.
- Staicu, V. (1998). On the solution sets to nonconvex differential inclusions of evolution type. Discrete Contin. Dyn. Syst. 2:244–252.
- Zhou, Y., Peng, L. (2017). Topological properties of solutions sets for partial functional evolution inclusions. Comp. Rendus Math. 355:45–64.
- Andres, J., Pavlačková, M. (2010). Topological structure of solution sets to asymptotic boundary value problems. J. Diff. Eq. 248:127–150.
- Andres, J., Gabor, G., G´orniewicz, L. (2000). Topological structure of solution sets to multi-valued asymptotic problems. Z. Anal. Anwend. 19:35–60.
- Bakowska, A., Gabor, G. (2009). Topological structure of solution sets to differential problems in Fréchet spaces. Ann. Polon. Math. 95:17–36.
- Bressan, A., Wang, Z. P. (2009). Classical solutions to differential inclusions with totally disconnected right-hand side. J. Diff. Eq. 246:629–640.
- Chen, D. H., Wang, R. N., Zhou, Y. (2013). Nonlinear evolution inclusions: Topological characterizations of solution sets and applications. J. Funct. Anal. 265:2039–2073.
- Gabor, G., Grudzka, A. (2012). Structure of the solution set to impulsive functional differential inclusions on the half-line. Nonlinear Diff. Eq. Appl. 19:609–627.
- Gabor, G., Quincampoix, M. (2002). On existence of solutions to differential equations or inclusions remaining in a prescribed closed subset of a finite-dimensional space. J. Diff. Eq. 185:483–512.
- Staicu, V. (2000). On the solution sets to differential inclusions on unbounded interval. Proc. Edinb. Math. Soc. 43:475–484.
- Wang, R. N., Ma, Q. H., Zhou, Y. (2015). Topological theory of non-autonomous parabolic evolution inclusions on a noncompact interval and applications. Math. Annal. 362:173–203.
- Bochner, S., Taylor, A. E. (1938). Linear functionals on certain spaces of abstractly valued functions. Ann. Math. 39:913–944.
- Kantorovich, L. V., Akilov, G. P. (1982). Functional Analysis. Oxford: Pergamon Press.
- Dunford, N., Schwartz, J. T. (1988). Linear Operators. New York: Wiley.
- Kamenskii, M., Obukhovskii, V., Zecca, P. (2001). Condensing Multi-valued Maps and Semilinear Differential Inclusions in Banach Spaces. Berlin, New York: Walter de Gruyter.
- O’Regan, D. (2000). Fixed point theorems for weakly sequentially closed maps. Arch. Math. 36:61–70.
- Górniewicz, L., Lassonde, M. (1994). Approximation and fixed points for compositions of Rδ-maps. Topol. Appl. 55:239–250.
- Brezis, H. (1983). Analyse Fonctionelle, Théorie et Applications. Paris: Masson Editeur.
- Wang, R. N., Zhu, P. X. (2013). Non-autonomous evolution inclusions with nonlocal history conditions: Global integral solutions. Nonlinear Anal. 85:180–191.
- Pazy, A. (1983). Semigroups of Linear Operators and Applications to Partial Differential Equations. New York: Springer-Verlag.