What people are saying - Write a review
We haven't found any reviews in the usual places.
Elementary HigherOrder Differential Equations
20 other sections not shown
analytic applied arbitrary assume asymptotic boundary conditions bounded canonical form Cauchy problem Cauchy sequence Consider the equation constant coefficients continuous function Corollary critical point curve deduce defined Definition denote derivatives Dirichlet problem dx dy eigenfunctions eigenvalues elliptic operator Example Exercise exists Find finite fixed Fourier transform function f(x fundamental solution given Green's function Green's identity harmonic hence Hilbert space Hint homogeneous equation hyperbolic implies independent solutions independent variables inequality initial conditions integral interval Lemma linear equations linear system matrix method neighborhood nonhomogeneous norm obtain origin partial differential equations particular solution Proof Prove region regular singular point relation respect result scalar second-order Section Show solution u(x Solve sphere stable substitution surface tempered distribution Theorem 17 tion trajectories trivial solution unique solution vector Verify wave equation zeros