Liapunov's function and boundedness of solutions

1 Antosiewicz, H. A. On non-linear differential equations of the second order with integrable forcing term J. London Math. Soc. 30 1955 64-67 MR0065752 100 Cache/An/Antosiewicz,non-linear,J*,1955,1956

2 Antosiewicz, H. A. A survey of Lyapunov's second method Annals of Math. Studies Annals of Math. Studies 41, Princeton Univ. Press 1958 141-166 MR0102643 Cache/An/Antosiewicz,Lyapunov's,*,1958,1959

3 Cesari, L. Asymptotic behavior and stability problems in ordinary differential equations Ergebnisse der Math. und ihrer Grenzgebiete, 16 16 1959 MR0118904 100 Cache/Ce/Cesari,Asymptotic,*,1959,1960 vii+271

4 Hayashi, K. On transformations of differential equations Mem. College of Sci., Univ. of Kyoto, Ser. A A 28 1954 313-325 MR0065722 100 Cache/Ha/Hayashi,transformations,Mem*,1954,1955

5 Hukuhara, M. Sur les points singuliers des équations différentielles J. Fac. of Sci. Hokkaido Univ. 2 1934 13-88 Data is not found in MathSci. Cache/Hu/Hukuhara,singuliers,J*,1934,1935

6 Lefschetz, S. Differential equations: Geometric theory Pure and Applied Math. 6 6 1957 MR0094488 Cache/Le/Lefschetz,*,Pure*,1957,1958 7 Liapounoff, A. M. Problème général de la stabilité du mouvement Annals of Math. Studies 17 1947 MR0021186 Cache/Li/Liapounoff,*,*,1949,1950

8 Massera, J. L. On Liapounoff's conditions of stability Ann. of Math. 50 1949 705-721 MR0035354 100 Cache/Ma/Massera,Liapounoff's,Ann*,1949,1950

9 Massera, J. L. The existence of periodic solutions of systems of differential equations Duke Math. J. 17 1950 457-475 MR0040512 100 Cache/Ma/Massera,existence,Duke*,1950,1951

10 Massera, J. L. Contributions to stability theory Ann. of Math. 64 1956 182-206 MR0079179 100 Cache/Ma/Massera,Contributions,Ann*,1956,1957

11 Mizohata, S.; Yamaguti, M. On the existence of periodic solutions of the nonlinear differential equation $\ddot{x}+a(x)\dot{x}+\varphi(x)=p(t)$ Mem. College of Sci., Univ.of Kyoto, Ser. A A 27 1952 109-113 MR0054127 71 Cache/Mi/Mizohata,existence,Mem*,1952,1953

12 Reuter, G. E. H. On certain non-linear differential equations with almost periodic solutions J. London Math. Soc. 26 1951 215-221 MR0043296 100 Cache/Re/Reuter,non-linear,J*,1951,1952

13 Reuter, G. E. H. A boundedness theorem for non-linear differential equations of the second order Proc. Cambridge Phil. Soc. 47 1951 49-54 MR0041306 100 Cache/Re/Reuter,boundedness,Proc*,1951,1952

14 Reuter, G. E. H. Boundedness theorems for non-linear differential equations of the second order (II) J. London Math. Soc. 27 1952 48-58 MR0047217 100 Cache/Re/Reuter,Boundedness,J*,1952,1953

15 Sansone, G.; Conti, R. Equazioni differenziali non lineari Rome, Monografie Mat. III 1956 MR0088607 100 Cache/Sa/Sansone,differenziali,*,1956,1957 xix+647

16 Utz, W. R. Boundedness and periodicity of solutions of the generalized Liénard equation Annali di Mat., Ser. 4 4 42 1956 313-324 MR0082588 100 Cache/Ut/Utz,Boundedness,Annali*,1956,1957

17 Wintner, A. An Abelian lemma concerning asymptotic equilibria Amer. J. of Math. 68 1946 451-454 MR0016812 100 Cache/Wi/Wintner,concerning,Amer*,1946,1947

18 Yoshizawa, T. On the non-linear differential equation Mem. College of Sci., Univ. of Kyoto, Ser. A A 28 1954 133-141 MR0065732 100 Cache/Yo/Yoshizawa,non-linear,Mem*,1954,1955

19 Yoshizawa, T. On the convergence of solutions of the non-linear differential equation Mem. College of Sci., Univ. of Kyoto, Ser. A A 28 1954 143-151 MR0065733 100 Cache/Yo/Yoshizawa,convergence,Mem*,1954,1955

20 Yoshizawa, T. Note on the existence theorem of a periodic solution of the nonlinear differential equation Mem. College of Sci., Univ. of Kyoto, Ser. A A 28 1954 153-159 MR0065734 92 Cache/Yo/Yoshizawa,existence,Mem*,1954,1955

21 Yoshizawa, T. Note on the boundedness of solutions of a system of differential equations Mem. College of Sci., Univ. of Kyoto, Ser. A A 28 1954 293-298 MR0064942 100 Cache/Yo/Yoshizawa,boundedness,Mem*,1954,1955

22 Yoshizawa, T. On the stability of solutions of a system of differential equations Mem. College of Sci., Univ. of Kyoto, Ser. A A 29 1955 27-33 MR0075383 100 Cache/Yo/Yoshizawa,stability,Mem*,1955,1956

23 Yoshizawa, T. Note on the solutions of a system of differential equations Mem. College of Sci., Univ. of Kyoto, Ser. A 29 1955 249-273 MR0098216 100 Cache/Yo/Yoshizawa,solutions,Mem*,1955,1956

24 Yoshizawa, T. Note on the boundedness and the ultimate boundedness of solutions of $x'=F(t,x)$ Mem. College of Sci., Univ. of Kyoto, Ser. A 29 1955 275-291 MR0098217 84 Cache/Yo/Yoshizawa,boundedness,Mem*,1955,1956

25 Yoshizawa, T. Appendix to the paper "Note on the boundedness and the ultimate boundedness" Mem. College of Sci., Univ. of Kyoto, Ser. A 30 1957 91-103 MR0098219 100 Cache/Yo/Yoshizawa,boundedness,Mem*,1957,1958

26 Yoshizawa, T. On the necessary and sufficient condition for the uniform boundedness of solutions of $x'=F(t,x)$ Mem. College of Sci., Univ. of Kyoto, Ser. A 30 1957 217-226 MR0098218 86 Cache/Yo/Yoshizawa,boundedness,Mem*,1957,1958

27 Yoshizawa, T. Note on the equi-ultimate boundedness of solutions of $x'=F(t,x)$ Mem. College of Sci., Univ. of Kyoto, Ser. A 31 1958 211-217 MR0105534 88 Cache/Yo/Yoshizawa,equi-ultimate,Mem*,1958,1959

28 Yoshizawa, T. On the equiasymptotic stability in the large Mem. College of Sci., Univ. of Kyoto, Ser. A 32 1959 171-180 MR0107062 100 Cache/Yo/Yoshizawa,equiasymptotic,Mem*,1959,1960