Asymptotic solution of ODE
β Scribed by Hardy G.
- Book ID
- 127399781
- Year
- 1912
- Tongue
- English
- Weight
- 248 KB
- Series
- ProcLMS
- Category
- Library
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π SIMILAR VOLUMES
We deal with algorithms for solving systems z'(x) = f(x, z(x)), x E [O, cl, z(O) = 7, where f has r continuous bounded derivatives in [O, c] x UG. We consider algorithms whose sole dependence on f is through the values of n linear continuous functionals at J We show that if these functionals are def
This paper gives two lemmas dealing with the continuity of solutions of ordinary differential equations with respect to perturbations in the vector field and initial conditions when the equations contain a linear part. The basic lemmas in ODE theory are special cases of these lemmas. The lemmas are