We prove upper bounds for the first eigenvalue of the Laplacian of hypersurfaces of Euclidean space involving anisotropic mean curvatures. Then, we study the equality case and its stability.

A class of linear hyperbolic systems of conservation laws with multiple time scales which are modeled by a perturbation parameter is considered in this paper. By setting the perturbation parameter to zero, two subsystems, the reduced subsystem standing for the slow dynamics and the boundary-layer subsystem representing the fast dynamics, are computed. It is first proved that the exponential sta...

This study empirically investigates the mediating role of psychosocial mentoring support on emotional stability personality disposition and career resilience relationship. In addition, this research also focuses on estimating the interrelationship between emotional stability, psychosocial mentoring support and career resilience. The results show substantive direct relations between emotional st...

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Linear equality systems with fuzzy parameters and crisp variables defined by the extension principle are called possibilistic linear equality systems. The study focuses on the problem of stability (with respect to perturbations of fuzzy parameters) of the solution in these systems.

This paper examines whether consumers necessarily benefit from tightening the price cap. We find that a tighter price cap always increases consumer welfare when demands are independent. Conversely, when demands are interdependent a tighter price cap may reduce consumer welfare.  2000 Elsevier Science S.A. All rights reserved.

The present paper is devoted to an analytical investigation of a two species comensal host model. Both the commensal and host with limited resources and are harvested (immigration) at a constant rate. The model is characterized by couple of first order non-linear ordinary differential equations. The only one equilibrium point for the model is identified and stability criteria are discussed. Als...

For fixed step-size h the Strrmer method is stable for the standard test equation y = co2y, co > O, if and only ifhco < 2. We show that for variable step size h~ there does not exist a (positive) limit on hco which ensures stability. Nor can we guarantee stability if, in addition, we limit the step size ratio h~/h,_ 1AMS(MOS) Subject Classifications: 65L20.

In the above paper [1], equation (8) should be = u x u x v y v y 1 r ij dxdudydv = z 3 3 6 p 2 0 1 qS q p 2 + 1 + 6 q 2 0 1 pS p q 2 + 1 + 6pS(p) + 6qS(q) 0 12pqT