... for solving different classes ofsystemsof nonlinear matrix equations involving Lipshitzianmappings.2000 Mathematics Subject Classifications: 15A24; 65H05.Keywords: nonlinear matrix equations, ... theorem, the choice of the metric plays a crucialrole. In this study, we use the Thompson metric introduced by Thomp son [5] for thestudy of solutions to systemsof nonlinear matrix equations involving ... 2011:89http://www.fixedpointtheoryandapplications.com/content/2011/1/89Page 2 of 10 RESEARC H Open Access Solving systemsof nonlinear matrix equations involving Lipshitzian mappingsMaher Berzig*and Bessem...
... simulationHybrid dynamic systems (HDSs) are systems described by a mix of discrete andcontinuous components. The continuous comp onents are generally expressed by initial valued problemsof an ordinary ... figure is reduced for the visualization. Enclosing solutions ofsystemsof equations involving ODEAurelien LejeuneNational Institute of Informatics2-1-2 Hitotsubashi, Chyoda-kuTokyo 101-8430 ... part.Mots-clefs : syst`emes hybrides, equations differentielles ordinaires, anal-yse par intervalles. References1. Hansen, E. and Sengupta, S.: Bounding solutions ofsystemsofequations usinginterval...
... solutions of isomonodromy problems for such systemsof difference equations. In the case of one-interval gap probability this has been done (in a different language) in[Bor], [BB]. One example of the ... equalto I. The proof of uniqueness is complete.To prove the existence we note, first of all, that it suffices to provide aproof if one of the κi’s is equal to ±1 and one of the δj’s is equal ... Proposition 4.8 in the proof of Proposition 4.4 above.(b) Commuting flows on sequences. Denote by P the set of all sequences{pk}k∈Z⊂ P0such that the types of all elements of a sequence are pairwisedisjoint.Fix...
... purity of these compounds (> 96%) was checked by 1HNMRand HPLC.Spectrophotometric determination of laccase activityThe activity of laccase was determined by following the rate of oxidation of ... bedetected by LC-MS, even though the formation of smallamounts of olefinic products is indicated by 1H-NMRspectra also in this case (Fig. 4). There is no evidence of oxidation of the internal ... consumptionTable 1 summarizes the results of our laccase oxidations of substrates 1–5, and the effect of the cosolvent and of themediators on the amount of substrate metabolized by theenzyme.(a) Laccase...
... Constant-sign solutions of a system of Fredholm integral equations. Acta ApplMath. 80,57–94 (2004)7. Agarwal, RP, O’Regan, D, Wong, PJY: Eigenvalues of a system of Fredholm integral equations. Math ... Triple solutions of constant sign for a system of Fredholm integral equations. Cubo. 6,1–45 (2004)9. Agarwal, RP, O’Regan, D, Wong, PJY: Constant-sign solutions of a system of integral equations: ... this article as: Agarwal et al.: Existence results of Brezis-Browder type for systemsof Fredholm integral equations. Advances in Difference Equations 2011 2011:43.Submit your manuscript to a...
... 2011:31http://www.fixedpointtheoryandapplications.com/content/2011/1/31Page 3 of 10 q =1 − 2ρνA+ ρ2τ2A, r =1 − 2ηνB+ η2τ2B.Replacing xn+1 by x*, xn by x’, yn by y*, and yn-1 by y’, then, following the lines proofgiven in Theorem ... the set of all solutions (x*, y*, u*, v*) of the pro-blem (1.2).(II) If K is a closed convex subset of H an d (x)=K(x)forallx ẻ K,whereKisthe indicator function of K defined by K=0, ... finding solutions ofsystems of general nonlinear set-valued mixed variational inequalities problems in Hilbert spacesare studied. To overcome the difficulties, due to the presence of a proper convexlower...
... use of Gronwallinequality. Then, v ≤ u inDT, and the proof of part i of the lemma is completed. The similarargument gives the proof of part ii of the lemma. Advances in Difference Equations ... 0,independent of m.Proof. By Hypothesis H, 3.20,and3.27, the proof similar to that of 15, Lemma 4.4 gives3.31,and ,by 3.20 and 3.28, the proof similar to that of 15, Lemma 4.3 ... given by one of 5.2–5.4, then problem 1.1 has a unique nonnegativepiecewise classical solution.Proof. By Theorem 4.1, the proof of this theorem is completed if there exist a pair of coupledweak...
... convex subset C of a realHilbert space H. We consider the problem of finding a common element of fixed point set of these mappings and the solution set of a system of equilibrium problemsby parallel ... xnj,3.26 Journal of Inequalities and Applications 11Proof. The proof of this theorem is similar to that of Theorem 3.1.Step 1. The sequence {xn} is well defined. We will show by induction that ... a common element of the fixed point set of a finite family of strict pseudocontractions and the solution set of thesystem of equilibrium problems 1.1 by the hybrid methods.We will use the following...
... pleasure! That Hotel of Mouchy, Madam; that Hotel of Lyons, that Hotel of Holland, what charming places to live in![Footnote: Instead of naming the hotels (= mansions) of the great noblemen, ... inherent to it a certain touch of absurdity which is catching, and we should be warned by the example of some of our friends. JU. Nonsense, Cléante; I see that, in spite of all you say, you are longing ... pack of hounds, and took the title of Count in all the deeds that he signed. VISC. I unhappy? Oh! dear no, I am not so much of a poet for you to think that I but here is the Countess of Escarbagnas;...
... analyzing the vibration of propulsion system of ship. It includes three type of vibration as longitudinal vibration, tranversal vibration and torsional vibration. Among of them, torsional vibration ... method. The result of this paper verifies this method with the ship of 350HP. Keywords: vibration of propulsion system of ship, ship vibration * Nghiên cứu này trình bày các kết quả của ... Analyzing vibration of propulsion system often carry out in the modeling system. The numerical method is used to solve in this paper is finite element method. The result of this paper verifies...