İlter, Serkan2024-07-122024-07-122019İlter, S. (2019). Some properties of solutions to dynamical systems. International Conference of Mathematical Sciences (ICMS 2019). s. 56.978-605-2124-29-1https://hdl.handle.net/20.500.12415/2132We consider the following differential inclusion with discontinuous right-hand sides: x?(t) ? ? (t, x (t)) (1) where ? is a set-valued function (i.e., multifunction) which associates with any point x ? R n, a set ? (t, x) ? R n and x (·) is an absolutely continuous (AC) function from [0, T] to R n. We say that the function x (·) ? AC ([0, T] , R n) with x (0) = x0 satisfying (1) almost everywhere is a solution to the system (1) with the initial condition x0. In this paper, we derive some properties concerning set-valued functions satisfying one-sided Lipschitz condition and solutions to the system (1) in a weighted space.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessSet-valued functionsOne-sided Lipschitz conditionDifferential inclusionArticle5656