On the nonexistence of L2-solutions of nth order differential equations

Author:

Grammatikopoulos M. K.,Kulenović M. R.

Abstract

Consider the equationwhere is the generalised derivative of x defined as follows: for every tT.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

1. On ℒ2-solutions of linear ordinary differential equations

2. Remarks on a theorem of A. Wintner;Wong;L'Enseignment Mathematique,1967

3. A criterion for the nonexistence of L2-solutions of a non-oscillatory differential equation;Wintner;J. London Math. Soc.,1950

4. Extension of a theorem of A. Wintner

5. On the non-existence of L2 solutions of a class of non-linear differential equations

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On Lp-solutions for a class of sequential fractional differential equations;Applied Mathematics and Computation;2011-11

2. Limit-point criteria for superlinear differential equations;Bulletin of the Belgian Mathematical Society - Simon Stevin;2004-09-01

3. Limit-point type solutions of nonlinear differential equations;Journal of Mathematical Analysis and Applications;2004-06

4. On the Nonoscillation, Convergence to Zero, and Integrability of Solutions of a Second Order Nonlinear Differential Equation;Mathematische Nachrichten;1987

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