訂正日: 2006/10/20訂正理由: -訂正箇所: 引用文献情報訂正内容: Wrong : 1) M. G. Crandall and P. H. Rabinowitz, Bifurcation from simple eigenvalues, J. Funct. Anal., 8 (1971), 321-340. 2) Y. Karnimura, An inverse problem in bifurcation theory, J. Differential Equations, 106 (1993), 10-26. 3) J. J. Levin and S. S. Schatz, Non-linear oscillations of fixed period, J. Math. Anal. Appl., 7 (1963), 284-288. 4) L. Nierenberg, Topics in Nonlinear Functional Analysis, Courant Institute of mathematical Sciences, 1974. 5) Chike Obi, Analytical theory of non-linear oscillations. VII, J. Math. Anal. Appl., 55 (1976), 295-301. 6) Chike Obi, Analytical theory of non-linear oscillations. VIII, Ann. Mat. Pura Appl., 117 (1978), 339-347. 7) P. H. Rabinowitz, Nonlinear Sturm-Liouville problems for second order ordinary differential equations, Comm. Pure Appl. Math., 23 (1970), 939-961. 8) M. Urabe, Potential forces which yield periodic motion of a fixed period, J. Math. Mech., 10 (1961), 569-578. 9) M. Urabe, Relations between periods and amplitudes of periodic solutions of x+g(x)=0, Funkcial. Ekvac., 6 (1964), 63-88. 10) M. Urabe, Nonlinear Autonomous Oscillations, Academic Press, New York, London, 1967.
Right : [1] M. G. Crandall and P. H. Rabinowitz, Bifurcation from simple eigenvalues, J. Funct. Anal., 8 (1971), 321-340. [2] Y. Kamimura, An inverse problem in bifurcation theory, J. Differential Equations, 106 (1993), 10-26. [3] J. J. Levin and S. S. Schatz, Non-linear oscillations of fixed period, J. Math. Anal. Appl., 7 (1963), 284-288. [4] L. Nierenberg, Topics in Nonlinear Functional Analysis, Courant Institute of mathematical Sciences, 1974. [5] Chike Obi, Analytical theory of non-linear oscillations. VII, J. Math. Anal. Appl., 55 (1976), 295-301. [6] Chike Obi, Analytical theory of non-linear oscillations. VIII, Ann. Mat. Pura Appl., 117 (1978), 339-347. [7] P. H. Rabinowitz, Nonlinear Sturm-Liouville problems for second order ordinary differential equations, Comm. Pure Appl. Math., 23 (1970), 939-961. [8] M. Urabe, Potential forces which yield periodic motion of a fixed period, J. Math. Mech., 10 (1961), 569-578. [9] M. Urabe, Relations between periods and amplitudes of periodic solutions of x+g(x)=0, Funkcial. Ekvac., 6 (1964), 63-88. [10] M. Urabe, Nonlinear Autonomous Oscillations, Academic Press, New York, London, 1967.