Oscillation Theory |
Contents
Chapter | 1 |
NONSELFADJOINT EQUATIONS | 11 |
PARTIAL DIFFERENTIAL EQUATIONS | 17 |
Copyright | |
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abstract analogous applying boundary conditions Chapter coefficients comparison theorems conjoined solution conjugate points consider constant Corollary corresponding defined denote differential equations differential inequalities dx dx Edited eigenfunction elliptic equations elliptic operator exists Green's function Green's theorem Hamiltonian system ij dx inequalities integral interval Kreith Lemma maximum principles nodal domain nonnegative definite nonoscillation nonselfadjoint equations nonsingular nontrivial solution u(x ordinary differential oscillation criteria oscillation properties oscillation theory oscillatory behavior P₁ P₁(x P₂ P₂(x physical interpretation Picone identity Picone identity 1.4 positive operator proof of Theorem Prüfer transformation representation respectively Riccati equation satisfies scalar Seiten selfadjoint selfadjoint equations singularities solution of 7.3 solution of Lv Sturm-Picone theorem Sturmian comparison theorem Swanson symmetric matrix techniques Theorem 3.1 tion u-regular variational vector zeros of u(x α α ΣΡ ди ди ди дх