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Partial differential equations associated with certain non-linear algorithms

✍ Scribed by Peter Wynn


Publisher
Springer
Year
1964
Tongue
English
Weight
790 KB
Volume
15
Category
Article
ISSN
0044-2275

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Periodic solutions of arbitrary period to semilinear partial differential equations of Zabusky or Boussinesq type are obtained. More generally, for a linear differential operator A ( y , a ) , the equation A ( y , a)u = ( -l)lYlas,f(y, Pu), y = (t, x) E Rk x G is studied, where homogeneous boundary