论文信息 - Global existence of solutions of differential inclusions

Global existence of solutions of differential inclusions

Abstract In this paper we consider sufficient conditions for global existence of solutions to a differential inclusion, dx dt ϵ F(t, x) , assuming existence of local solutions to it by means of Lyapunov's second method. Our theorem includes as special cases S. W. Seah's theorems (1982, J. Math. Anal. Appl. 89, 648–663).

Takeshi Taniguchi | T. Taniguchi

[1] Sek Wui Seah,et al. Existence of solutions and asymptotic equilibrium of multivalued differential systems , 1982 .

[2] 吉沢太郎. Stability theory by Liapunov's second method , 1966 .

[3] John L. Davy. Properties of the solution set of a generalized differential equation , 1972, Bulletin of the Australian Mathematical Society.

[4] E. Coddington,et al. Theory of Ordinary Differential Equations , 1955 .

[5] A Cellina,et al. Continuous selections and differential relations , 1975 .

[6] C. J. Himmelberg,et al. Existence of solutions for generalized differential equations with unbounded right-hand side☆ , 1986 .

[7] Aleksej F. Filippov,et al. Differential Equations with Discontinuous Righthand Sides , 1988, Mathematics and Its Applications.

[8] Henry Hermes,et al. The generalized differential equation ẋ ϵ R(t, x) , 1970 .

[9] C. Castaing,et al. Convex analysis and measurable multifunctions , 1977 .