Revision #931 → #1604 · back to history
addedSturm–Liouville problem92db065a49f4
addedEigenvalues of a Sturm–Liouville problem5e5dca356cd6
addedEigenfunctions of a Sturm–Liouville problema13a618cdee8
addedSturm–Liouville theory4456c23324aa
addedRegular Sturm–Liouville problemf59e2b3ade25
addedWeight (density) functiond8f10ba24673
addedSolution of a regular Sturm–Liouville problemea417323475b
addedMain theorem of Sturm–Liouville theorybdec88e9fcb8
addedNo nontrivial solution has infinitely many zeros on a closed interval4b8d7eec3f28
addedSturm's Separation Theorema617af2461fd
addedSturm's Fundamental Theorem90b6eece54d0
addedSturm–Liouville form (self-adjoint form)59576227c2e1
addedEvery second-order linear homogeneous ODE can be recast in Sturm–Liouville formb86bb55f9420
addedBessel equation in Sturm–Liouville form484ccedcc0ff
addedLegendre equation in Sturm–Liouville formd234c2a7c60d
addedReduction via integrating factor8b05257d56d8
addedIntegrating factor for general second-order homogeneous equation40eb37e41643
addedSturm–Liouville operator La3c85b0c75a7
addedL is a self-adjoint operatorbf40e7e5b5ab
addedResolvent is a compact integral operator; spectral theorem yields orthonormal basis of eigenfunctionsce89df9d113e
addedSingular Sturm–Liouville operatorecce5e6f7aff
addedReduction of inhomogeneous second-order linear ODE to Sturm–Liouville form40f8a0760c6c
addedPicard–Lindelöf existence and uniqueness for initial value problems2fcef97e039c
addedSolution of inhomogeneous problem via eigenfunction expansionde0745055f62
addedFourier series as a Sturm–Liouville problema2c6ffc6999d
addedNormal modes of a rectangular membrane003d3b56099d
addedSeparation of variables for a linear second-order equation88b9bb46e1e1
addedShooting method for Sturm–Liouville problems944086f8956c
addedSpectral parameter power series (SPPS) representation of solutions26e299923124
addedConstruction of a nonvanishing solution via SPPSd2303a984011