Published: 1982 Received: July 26, 1979Available on J-STAGE: October 20, 2006Accepted: -
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Date of correction: October 20, 2006Reason for correction: -Correction: CITATIONDetails: Wrong : 1) A. Friedman, Stochastic Differential Equations and Applications, vol. 1, Academic Press, New York, 1975. 2) J.A. Goldstein, Second order Ito processes, Nagoya Math. J., 36 (1969), 27-63. 3) R.Z. Hasminskii, Stability of Systems of Differential Equations in the Presence of Random Disturbances (In Russian), Nauka, Moscow, 1969. 4) N. Ikeda and S. Watanabe, Stochastic Differential Equations and Diffusion Processes, Kodansha, Tokyo, 1981. 5) J.P. LaSalle and S. Lefschetz, Stability by Liapunov's Direct Method with Applications, Academic Press, New York, 1961. 6) H.P. Jr., McKean, Stochastic Integrals, Academic Press, New York, 1969. 7) K. Narita, Remarks on explosion of inhomogeneous diffusion processes, Sci. Rep. Tokyo Kyoiku Daigaku Sect. A, 11 (1972), 235-244. 8) K. Narita, Sufficient conditions for no explosion of inhomogeneous diffusion processes, Sci. Rep. Tokyo Kyoiku Daigaku Sect. A, 12 (1973), 95-100. 9) W.C. Peterson, Generalized Liapunov functions, J. Math. Anal. Appl., 66 (1978), 333-338. 10) T. Yoshizawa, Stability Theory by Liapunov's Second Method, Publication No. 9, The Mathematical Society of Japan, Tokyo, 1966.
Right : [1] A. Friedman, Stochastic Differential Equations and Applications, vol. 1, Academic Press, New York, 1975. [2] J. A. Goldstein, Second order Ito processes, Nagoya Math. J., 36 (1969), 27-63. [3] R. Z. Hasminskii, Stability of Systems of Differential Equations in the Presence of Random Disturbances (In Russian), Nauka, Moscow, 1969. [4] N. Ikeda and S. Watanabe, Stochastic Differential Equations and Diffusion Processes, Kodansha, Tokyo, 1981. [5] J. P. LaSalle and S. Lefschetz, Stability by Liapunov's Direct Method with Applications, Academic Press, New York, 1961. [6] H. P. Jr., McKean, Stochastic Integrals, Academic Press, New York, 1969. [7] K. Narita, Remarks on explosion of inhomogeneous diffusion processes, Sci. Rep. Tokyo Kyoiku Daigaku Sect. A, 11 (1972), 235-244. [8] K. Narita, Sufficient conditions for no explosion of inhomogeneous diffusion processes, Sci. Rep. Tokyo Kyoiku Daigaku Sect. A, 12 (1973), 95-100. [9] W. C. Peterson, Generalized Liapunov functions, J. Math. Anal. Appl., 66 (1978), 333-338. [10] T. Yoshizawa, Stability Theory by Liapunov's Second Method, Publication No. 9, The Mathematical Society of Japan, Tokyo, 1966.
Date of correction: October 20, 2006Reason for correction: -Correction: PDF FILEDetails: -