Abstract
By using new Schrödinger type inequalities appearing in Jiang and Usó (J. Inequal. Appl. 2016:233, 2016), we study the existence of weak solutions of stochastic delay differential systems with Schrödinger–Brownian motions.
Highlights
Controllability is one of the fundamental concepts in mathematical control theory, and it plays an important role in both deterministic and stochastic control systems
It is well known that controllability of stochastic delay differential systems is widely used in many fields of science and technology
The controllability of nonlinear deterministic systems represented by evolution equations in abstract spaces has been extensively studied by several authors
Summary
Controllability is one of the fundamental concepts in mathematical control theory, and it plays an important role in both deterministic and stochastic control systems. We use the method presented in [1] and prove that there exists a unique weak solution for SSDDs (1.1) with some monotone coefficients. Main result and its proof we consider the existence of the weak solution (X, Y, Z, K) for SSDDs (1.1).
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