By using some new developments in the theory of equilibrium problems, we study the existence of anti-periodic solutions for nonlinear evolution equations associated with time-dependent pseudomonotone and quasimonotone operators in the topological sense. More precisely, we establish new existence results ...
Qing Y, Lv S: A strong convergence theorem for solutions of equilibrium problems and asymptotically quasi- ϕ -nonexpansive mappings in the intermediate sense. Fixed Point Theory Appl. 2013., 2013: Article ID 305Yuan, Q, Lv, ST: A strong convergence theorem for solutions of equilibrium ...
2.1 Equilibrium solution and stability analysis To compute the equilibrium solutions and analyze their stability, the variables of the problems are expressed in the standard form [24,25] (3)y(x,t)=y0(x)+ɛeλty1(x), where y0(x) represents the equilibrium solution and eλty1(x), with...
We present several examples of inverse equilibrium problems and, for each of them, we describe a step-by-step procedure to transform the inverse chemical equilibrium problem to a mathematical one that fits in our general framework of inverse equilibrium equations. We also demonstrate the performance...
In a topological sup-semilattice, we established a new existence result for vector quasiequilibrium problems. By the analysis of essential stabilities of maximal elements in a topological sup-semilattice, we prove that for solutions of each vector quasi-equilibrium problem, there exists a connected mi...
terestinexistenceproofsdominatedandonlymuchlaterwereprac- ticalapplicationsenvisagedbytwophysicists,LordRayleighand WaltherRitz;theyindependentlyconceivedtheideaofutilizingthis equivalencefornumericalcalculationofthesolutions,bysubstituting forthevariationalproblemssimplerapproximatingextremumprob- ...
The phosphorylation of ribose could favour a specific enantiomer. It has been shown that the glycosylation of ribose under theα-furanose form can lead to the formation ofβ-furanose nucleosides15. In order to solve the problems of stability and enantiomeric structure, some studies have analysed ...
内容提示: VARIATIONAL METHODS FOR THE SOLUTION OF PROBLEMS OF EQUILIBRIUM AND VIBRATIONS R. COURANT As Henri Poincaré once remarked, "solution of a mathematical problem" is a phrase of indefinite meaning. Pure mathematicians sometimes are satisfied with showing that the non-existence of a solu-...
but what I found interesting about it might be different from what Andalfatto was trying to show, which, I am guessing, was that a representative-agent modeling strategy doesn’t necessarily commit the theorist to the conclusion that the world is optimal and that the solutions of the model ...
Both this object and its single-valuedcounterpart, arising from the smoothed game, are shown to admit solutions. The equilibrium conditions of the gamegrow linearly in size with the the sample-space, network size and the number of participating rms. Consequently,direct schemes are inadvisable for ...