Skip to main content Accessibility help
×
Home

A Generalization of Čaplygin's Inequality with Applications to Singular Boundary Value Problems

  • D. Willett (a1)

Extract

Let

(1.1)

where pk C(α, β) and - ∞ ≦ α < β ≦ ∞ . A solution of (1.1) is a nontrivial function yCn(α, β), a neighborhood of β is an interval of the form (γ, β), α ≦ γ < β, and a neighborhood of α is an interval of the form (α, γ), α < γ ≦ β.

    • Send article to Kindle

      To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      A Generalization of Čaplygin's Inequality with Applications to Singular Boundary Value Problems
      Available formats
      ×

      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

      A Generalization of Čaplygin's Inequality with Applications to Singular Boundary Value Problems
      Available formats
      ×

      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

      A Generalization of Čaplygin's Inequality with Applications to Singular Boundary Value Problems
      Available formats
      ×

Copyright

References

Hide All
1. Bebernes, J. W. and Jackson, L. K., Infinite boundary value problems for y” = f(x, y), Duke Math. J. 34 (1967), 3948.
2. Čaplygin, S. A., New methods in the approximate integration of differential equations (Russian), Moscow: Gosudarstv. Izdat. Tech.-Teoret. Lit. (1950).
3. Levin, A. Ju., Non-oscillation of solutions of the equation x(n) + p1(t)x(n_1) + … + pn(t)x = 0, Uspehi Mat. Nauk 24 (1969), 43-96. (Russian Math. Surveys 24 (1969), 43100).
4. Pólya, G., On the mean-value theorem corresponding to a given linear homogeneous differential equation, Trans. Amer. Math. Soc. 24 (1922), 312324.
5. Pólya, G. and Szegö, G., Aufgaben und Lehrsätze der Analysis, Vol. II (Springer-Verlag, Berlin, 1954).
6. Willett, D., Asymptotic behaviour of disconjugate nth. order differential equations, Can. J. Math. 23 (1971), 293314.
7. Willett, D., Disconjugacy tests for singular linear differential equations, SI AM J. Math. Anal. 2 (1971), 536545 (Errata : ibid, 3 (1972)).
8. Willett, D., Oscillation on finite or infinite intervals of second order linear differential equations, Can. Math. Bull. 14 (1971), 539550.
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

A Generalization of Čaplygin's Inequality with Applications to Singular Boundary Value Problems

  • D. Willett (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed