Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Birkhoff, G. and Rota, G-C.: Ordinary differential equations. Ginn and Company, New York, 1962.
Dunford, N. and Schwartz, J.T.: Linear operators: Part II. Interscience Publishers, New York and London, 1963.
Eastham, M. S. P.: Theory of ordinary differential equations. Van Nostrand Reinhold Company, London, 1970.
Everitt, W. N.: On an extension to an integro-differential inequality of Hardy, Littlewood and Polya. Proc. Royal Soc. Edinburgh (A) 69 (1971/72) 294–333.
Everitt, W. N.: On a property of the m-coefficient of a second-order linear differential equation. Journ. London Math. Soc. (2) 4 (1972) 443–457.
Everitt, W. N.: Report on certain integral inequalities. University of Dundee, 1974.
Everitt, W. N. and Giertz, M.: A Dirichlet type result for ordinary differential operators. Math. Ann. 203 (1973) 119–128.
Everitt, W. N., Giertz, M. and McLeod, J. B.: On the strong and weak limitpoint classification of second-order differential expressions. Proc. London Math. Soc. To appear in 1974.
Everitt, W. N., Giertz, M. and Weidmann, J.: Some remarks on a separation and limit-point criterion of second-order, ordinary differential expressions. Math. Ann. 200 (1973) 335–346.
Everitt, W. N., Hinton, D. B. and Wong, J. S. W.: On the strong limit-n classification of linear ordinary differential expressions of order 2n. Proc. London Math. Soc. To appear in 1974.
Hardy, G. H. and Littlewood, J. E.: Some integral inequalities connected with the calculus of variations. Quart. Journal Math. Oxford Ser. (2) 3 (1932) 241–252.
Hardy, G. H., Littlewood, J. E. and Polya, G.: Inequalities. Cambridge, 1934.
Kalf, H.: Remarks on some Dirichlet type results for semibounded Sturm-Liouville operators, 1974. To be published.
Kalf, H.: Personal communication, February 1974.
Naimark, M. A.: Linear differential operators: Part II. Ungar, New York, 1968.
Editor information
Rights and permissions
Copyright information
© 1974 Springer-Verlag
About this paper
Cite this paper
Everitt, W.N. (1974). Integral inequalities and the Liouville transformation. In: Sleeman, B.D., Michael, I.M. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 415. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065546
Download citation
DOI: https://doi.org/10.1007/BFb0065546
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06959-1
Online ISBN: 978-3-540-37264-6
eBook Packages: Springer Book Archive