## Advanced ordinary differential equations (Mathematics 220) New York University, Spring 1947 |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### Common terms and phrases

4aMp absolute value absolutely convergent analytic analytic functions approximate solution assume assumption called choose consider constant contact transformation continuous functions coordinates corresponding defined definition denoted differential equations direction field eigenfunction eigenvalues expression finite number follows given periodic solution gives half-rectangle hence homogeneous variational equations identity initial conditions initial values instability integral curve interval Jordan Curve Jordan Curve Theorem lemma lie inside limit point linear combination linear homogeneous linear system linearly independent Lipschitz Condition main diagonal max d{m+1 max djm means method noint non-singular obtain orbital orbitally-unstable Ordinary Differential Equations partial derivatives point of accumulation point x,y power series prove quantities region satisfy a Lipschitz segment shown solution z^(t Solving stability straight line strictly monotonic subinterval subspace successive approximation sufficiently small system of equations tangent tion trajectory triangular matrix variables vector x-xQ xQ,x zero zi(x zj(t