although homotopy-based methods, namely homotopy analysis method andhomotopy perturbation method, have largely been used to solve functionalequations, there are still serious questions on the convergence issue of thesemethods. some authors have tried to prove convergence of these methods, butthe researchers in this article indicate that some of those discussions are faulty.here, after criticizi...

in this work, we successfully construct the new exact traveling wave solutions ofthe generalized sinh–gordon equation by new application of the homogeneousbalance method. the idea introduced in this paper can be applied to othernonlinear evolution equations.

al3+-potentiometric sensor, based on (2z) -methyl 2- ((z) (p-tolylimino)-3-ethyl -4-oxothiazolidin -5- ylidene) acetate (mteoy) as a neutral ionophore, was successfully developed for the detectionof al3+ in aqueous solutions. the electrode responds to al3+ ion with a sensitivity of 19.8 ± 0.1 mv/decade over the range 1.0 x 10-8- 1.0 x 10-1 mol lt' and in a ph range of 3.0-9.0. the electrodeshow...

with the expanding demand on application of magnesium alloys in automotive and aerospace industries, robust methods in fatigue characterization of commercially available magnesium alloys with high specific strength is anticipated. in this paper, rotating bending load controlled tests has been studied on specimens machined from an extrusion piece of az31b. due to asymmetric and anisotropic behav...

We address a zero-sum differential game with ergodic payoff. We study this problem via the viscosity solutions of an associated Hamilton–Jacobi–Isaacs equation. Under certain condition, we establish the existence of a value and prove certain representation formulae.

In this paper, we prove the strong stability of Diophantine KAM tori in the view of viscosity solutions of Hamilton-Jacobi equations.