Annulus criteria for mixed nonlinear elliptic differential equations

Zafer, Ağacık
New oscillation criteria are obtained for forced second order elliptic partial differential equations with damping and mixed nonlinearities of the form


Interval criteria for the forced oscillation of super-half-linear differential equations under impulse effects
ÖZBEKLER, ABDULLAH; Zafer, Ağacık (Elsevier BV, 2009-07-01)
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.
Oscillation of solutions of second order mixed nonlinear differential equations under impulsive perturbations
ÖZBEKLER, ABDULLAH; Zafer, Ağacık (Elsevier BV, 2011-02-01)
New oscillation criteria are obtained for second order forced mixed nonlinear impulsive differential equations of the form
Modelling and Monte Carlo simulation of the atomic ordering processes in Ni3Al intermetallics
Mehrabov, Amdulla; Akdeniz, Mahmut Vedat (IOP Publishing, 2007-03-01)
The evolution of atomic ordering processes in Ni3Al has been modelled by a Monte Carlo ( MC) simulation method combined with the electronic theory of alloys in pseudopotential approximation. The magnitudes of atomic ordering energies of atomic pairs in the Ni3Al system have been calculated by means of electronic theory in pseudopotential approximation up to the 4th coordination spheres and subsequently used as input data for MC simulation for more detailed analysis for the first time. The Bragg - Williams l...
An alternative solution to the grinding equation in cumulative size distribution form
Hoşten, Çetin (2005-04-01)
An alternative analytical exact solution for the discrete-size kinetic equation of grinding in cumulative-fraction-passing mode was formulated as a matrix equation and tested successfully for predicting the transient evolution of the cumulative particle-size distribution and also for back-calculating the selection and breakage function parameters. The compact matrix form of the equation makes it computationally simple, and easy to extend the treatment to continuous mills. The solution should be particularly...
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...
Citation Formats
Y. ŞAHİNER and A. Zafer, “Annulus criteria for mixed nonlinear elliptic differential equations,” MATHEMATICAL AND COMPUTER MODELLING, pp. 1856–1864, 2011, Accessed: 00, 2020. [Online]. Available: