Uniformly almost periodic solutions of non-linear differential equations of the second order I. General exposition
1955 ◽
Vol 51
(4)
◽
pp. 604-613
Keyword(s):
1·1. A general problem in the theory of non-linear differential equations of the second order is: Given a non-linear differential equation of the second order uniformly almost periodic (u.a.p.) in the independent variable and with certain disposable constants (parameters), to find: (i) the non-trivial relations between these parameters such that the given differential equation has a non-periodic u.a.p. solution; (ii) the number of periodic and non-periodic u.a.p. solutions which correspond to each such relation; and (iii) explicit analytical expressions for the u.a.p. solutions when they exist.
1977 ◽
Vol 77
(3-4)
◽
pp. 309-318
◽
1991 ◽
Vol 7
(4)
◽
pp. 354-359
◽
1931 ◽
Vol 27
(4)
◽
pp. 546-552
◽
1951 ◽
Vol s1-26
(3)
◽
pp. 215-221
◽
1933 ◽
Vol 231
(694-706)
◽
pp. 263-288
1951 ◽
Vol 3
◽
pp. 335-338
◽
Keyword(s):
1993 ◽
Vol 440
(1908)
◽
pp. 37-54
◽
1967 ◽
Vol 77
(1)
◽
pp. 179-191
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