Interval criteria for the forced oscillation of super-half-linear differential equations under impulse effects

Zafer, Ağacık
In this paper, we derive new interval oscillation criteria for a forced super-half-linear impulsive differential equation having fixed moments of impulse actions. The results are extended to a more general class of nonlinear impulsive differential equations. Examples are also given to illustrate the relevance of the results.


Annulus criteria for mixed nonlinear elliptic differential equations
ŞAHİNER, YETER; Zafer, Ağacık (Elsevier BV, 2011-05-01)
New oscillation criteria are obtained for forced second order elliptic partial differential equations with damping and mixed nonlinearities of the form
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Interval oscillation criteria are established for second-order forced delay dynamic equations on time scales containing mixed nonlinearities of the form
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Higher-Order Numerical Scheme for the Fractional Heat Equation with Dirichlet and Neumann Boundary Conditions
Priya, G. Sudha; Prakash, P.; Nieto, J. J.; Kayar, Z. (Informa UK Limited, 2013-06-01)
In this article, we consider a higher-order numerical scheme for the fractional heat equation with Dirichlet and Neumann boundary conditions. By using a fourth-order compact finite-difference scheme for the spatial variable, we transform the fractional heat equation into a system of ordinary fractional differential equations which can be expressed in integral form. Further, the integral equation is transformed into a difference equation by a modified trapezoidal rule. Numerical results are provided to verif...
Forced oscillation of super-half-linear impulsive differential equations
Oezbekler, A.; Zafer, Ağacık (Elsevier BV, 2007-09-01)
By using a Picone type formula in comparison with oscillatory unforced half-linear equations, we derive new oscillation criteria for second order forced super-half-linear impulsive differential equations having fixed moments of impulse actions. In the superlinear case, the effect of a damping term is also considered.
Citation Formats
A. ÖZBEKLER and A. Zafer, “Interval criteria for the forced oscillation of super-half-linear differential equations under impulse effects,” MATHEMATICAL AND COMPUTER MODELLING, pp. 59–65, 2009, Accessed: 00, 2020. [Online]. Available: