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Cauchy problems involving a small parameter
Author:
Frank Hoppensteadt
Journal:
Bull. Amer. Math. Soc. 76 (1970), 142-146
MathSciNet review:
0249847
Full-text PDF
References |
Additional Information
- 1.
Tosio
Kato, Nonlinear evolution equations in Banach spaces, Proc.
Sympos. Appl. Math., Vol. XVII, Amer. Math. Soc., Providence, R.I., 1965,
pp. 50–67. MR 0184099
(32 #1573)
- 2.
Einar
Hille and Ralph
S. Phillips, Functional analysis and semi-groups, American
Mathematical Society Colloquium Publications, vol. 31, American
Mathematical Society, Providence, R. I., 1957. rev. ed. MR 0089373
(19,664d)
- 3.
Shmuel
Agmon, On the eigenfunctions and on the eigenvalues of general
elliptic boundary value problems, Comm. Pure Appl. Math.
15 (1962), 119–147. MR 0147774
(26 #5288)
- 4.
J. B. Keller, Lecture notes, Math. Dept., Michigan State University, East Lansing, Mich., 1968.
- 5.
A.
B. Vasil′eva, Asymptotic behaviour of solutions of certain
problems for ordinary non-linear differential equations with a small
parameter multiplying the highest derivatives, Uspehi Mat. Nauk
18 (1963), no. 3 (111), 15–86 (Russian). MR 0158137
(28 #1363)
- 1.
- T. Kato, Nonlinear evolution equations in Banach spaces, Proc. Sympos. Appl. Math., vol. 17, Amer. Math. Soc. Providence, R. I., 1965, pp. 50-67. MR 32 #1573. MR 184099
- 2.
- E. Hille and R. S. Phillips, Functional analysis and semigroups, rev. ed., Amer. Math. Soc. Colloq. Publ., vol. 31, Amer. Math. Soc. Providence, R. I., 1957. MR 19, 664. MR 89373
- 3.
- S. Agmon, On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems, Comm. Pure Appl. Math. 15 (1962), 119-147. MR 26 #5288. MR 147774
- 4.
- J. B. Keller, Lecture notes, Math. Dept., Michigan State University, East Lansing, Mich., 1968.
- 5.
- A. B. Vasil'eva, Asymptotic behavior of solutions of certain problems for ordinary non-linear differential equations with a small parameter multiplying the highest derivatives, Uspehi Mat. Nauk 18 (1963), no. 3 (111), 15-86 = Russian Math. Surveys 18 (1963), 13-84. MR 28 #1363. MR 158137
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1970-12404-1
PII:
S 0002-9904(1970)12404-1
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