Sturm Oscillation TheoremSturm-Liouville theorySturm-Hurwitz theoremFourier coefficientsWinding numbersThere is c > 0 such that for all f is an element of C[0, pi] with at most d - 1 roots inside (0, pi)Steinerberger, StefanUniv Washington Dept Math Seattle WA 98195 USAJournal de Mathe...
Via per Arnesano, Lecce, Italy 73100 e-mail: alessandro.portaluri@unisalento.it Received 01 March 2009 Communicated by Susanna Terracini Abstract Sturm oscillation theorem for second order differential equations was generalized to systems and higher order equations with positive leading coefficient by se...
For Sturm—Liouville eigenvalue problems on time scales with separated boundary conditions we give an oscillation theorem and establish Rayleigh's principle. Our results not only unifly the corresponding theories for differential and difference equations, but are also new in the discrete case.Access th...
Theorem 2.6 Letg,hbe two differentiable functions,then ∫abg(x)Dxα(h(x))(x)dαx=gh|ab−∫abh(x)Dxα(g(x))dαx. 3The conformable SLP Our main focus in this article is on the SLP presented below, which is a special case of the general problem: ...
An analogue of Sturm's oscillation theorem is proved for the eigenfunctions of the boundary problem which in the regular case looks as follows L p α u+(q(r)+λs(r))u (p-1) =0,x∈[a 1 ,a 2 ],0≤a 1 0 and u (q) =|u| q-1 u is the odd power function. Also the ...
Sturm oscillation theorem for second order differential equations was generalized to systems and higher order equations with positive leading coefficient by several authors. What we propose here is a Sturm type oscillation theorem for indefinite systems with Dirichlet boundary conditions of the form where...
p>We define Atkinson's semi-definite p -Laplacian eigenvalue problems, which include the regular p -Laplacian eigenvalue problems with L 1 coefficient functions. Then we show that the Sturm oscillation theorem also holds for this eigenvalue problem....
STEFAN STEINERBERGERJournal de Mathématiques Pures et AppliquéesS. Steinerberger. Quantitative projections in the Sturm oscillation theorem. arXiv:1804.05779. 2S. Steinerberger, Quantitative Projections in the Sturm Oscillation Theorem, arXiv:1804.05779...
Sturm oscillation theoremWe define Atkinson's semi-definite p-Laplacian eigenvalue problems, which include the regular p-Laplacian eigenvalue problems with L-1 coefficient functions. Then we show that the Sturm oscillation theorem also holds for this eigenvalue problem. (C) 2016 WILEY-VCH Verlag ...