Sturm separation and comparison theorems for a class of fourth order ordinary and partial differential equations
- 1 January 1975
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 4 (4) , 343-352
- https://doi.org/10.1080/00036817508839101
Abstract
Separation and comparison theorems for differential equations of order greater than two appear to be relatively rare. We are concernd here with such theorems for a special class of fourth order ordinary and partial differential equations. For example, a typical comparison theorem is as follows: Suppose 0>c>C, 0(d) c(d) cin R. If there exists a function u>0 in R, u(d) 0 in any open subset of R, satisfying (d)=0 in R, u=(d) =0 on oR, then every solution of the system (d)=0in R, (d) has a zero in RKeywords
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- Autosoluzioni e autovalori nelle equazioni differenziali lineari ordinarie autoaggiunte di ordine superioreMathematische Zeitschrift, 1930