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Oscillatory Criteria for Nonlinear nth-Order Differential Equations with Quasiderivatives
Published/Copyright:
February 23, 2010
Abstract
Sufficient conditions are given for the existence of oscillatory proper solutions of a differential equation with quasiderivatives Lny = f(t, L0y, . . . , Ln–1y) under the validity of the sign condition f(t, x1, . . . , xn)x1 ≤ 0, f(t, 0, x2, . . . , xn) = 0 on 
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Key words and phrases.: Oscillatory solutions; existence criteria; differential equation of nth order
Received: 1994-11-20
Published Online: 2010-02-23
Published in Print: 1996-August
© 1996 Plenum Publishing Corporation
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Articles in the same Issue
- Oscillatory Criteria for Nonlinear nth-Order Differential Equations with Quasiderivatives
- Combinatorial Invariance of Stanley–Reisner Rings
- Solution of Two-Weight Problems for Integral Transforms with Positive Kernels
- On the Mode-Change Problem for Random Measures
- On a Darboux Type Multidimensional Problem for Second-Order Hyperbolic Systems
- Estimation of the Integral Modulus of Smoothness of an Even Function of Several Variables with Quasiconvex Fourier Coefficients
Keywords for this article
Oscillatory solutions;
existence criteria;
differential equation of nth order
Articles in the same Issue
- Oscillatory Criteria for Nonlinear nth-Order Differential Equations with Quasiderivatives
- Combinatorial Invariance of Stanley–Reisner Rings
- Solution of Two-Weight Problems for Integral Transforms with Positive Kernels
- On the Mode-Change Problem for Random Measures
- On a Darboux Type Multidimensional Problem for Second-Order Hyperbolic Systems
- Estimation of the Integral Modulus of Smoothness of an Even Function of Several Variables with Quasiconvex Fourier Coefficients
