báo cáo hóa học:" Research Article The Existence and Exponential Stability for Random Impulsive Integrodifferential Equations of Neutral Type" pot
báo cáo hóa học:" Research Article The Existence and Exponential Stability for Random Impulsive Integrodifferential Equations of Neutral Type" pot
... Difference Equations and uniqueness of the solutions to random impulsive differential equations, and in 18Zhao and Zhang discussed the exponential stability of random impulsive integro-differential equations ... equation of neutral type. One of the main reason is that the methods todiscuss the exponential stability of deterministic impulsive differential equations of neutral type and the exponential stability ... for random differential equations can not be directlyadapted to the case of random impulsive differential equations of neutral type, especially, random impulsive integrodifferential equations of...
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báo cáo hóa học:" Research Article Complete Asymptotic and Bifurcation Analysis for a Difference Equation with Piecewise Constant Control" potx
... Ω4.Therefore, in the fourth, sixth, seventh, and the eigth cases, we may use the conclusionsin the other cases to conclude our proof. The proof is complete.Theorem ESuppose that λ c/1 − a. Then, ... Advances in Difference Equations Proof. Indeed, in view of Lemma 6.1, we may assume without loss of generality thatx−2,x−1>λ. Then the same arguments in the proof of Theorem F shows that ... state vector, and for large λ, to another unique “higher” state vector. On the other hand, for a small positive λ, there are always solutions of 7.1 which tend to alimit 2-cycle, and solutions...
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báo cáo hóa học:" Research Article On a Perturbed Dirichlet Problem for a Nonlocal Differential Equation of Kirchhoff Type" docx
... conditions at 0 and ∞,andfx, t/t isnondecreasing on 0, ∞ for all x ∈ Ω. Critical point theory and minimax methods areused in 3 and 4. For Kta bt and λ 0, the existence of a nontrivial ... growth at ∞ and no other condition.Our aim is to study the existence of positive solution to problem Pλ, where, unlikeprevious existence results and, in particular, those of the aforementioned ... from the seminal paper of Lions 2. In particular, among the most recent papers, we cite 3–7 and refer the reader to the references therein for a more complete overview on this topic. The case...
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Báo cáo hóa học: " Research Article The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions" potx
... mechanics, and engineering 1–5. For the basic theory and recentdevelopment of the subject, we refer the reader to a text by Lakshmikantham et al. 6. For more details and examples, see 7–24 and the ... results on the existence of positive solutions by using fixed point theorem in cones. The proofs are based upon the reduction of problem considered to the equivalent Fredholm integral equation of second ... Difference Equations 136. ConclusionsIn this paper, by using the fixed point theorem of cone, we have investigated the existence of positive solutions for a class of nonlinear fractional differential equations...
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Báo cáo hóa học: " Research Article The Existence of Periodic Solutions for Non-Autonomous Differential Delay Equations via Minimax Methods" potx
... A.6. Therefore the lemma is true and A.1 holds.AcknowledgmentsThis work is supported by the Specialized Research Fund for the Doctoral Program of HigherEducation for New Teachers and the ... I2 of Theorem A holds. Now we establish I3 of Theorem A by the following three lemmas.Lemma 2.6. Under the assumptions of Theorem 1.1, i of I3 holds for φ.Proof. From the assumptions ... the zero and at infinity for f to establish the existence of periodic solutions of 1.2. Under the superlinear conditions1.5, there is no twist condition for f, which brings di fficulty to the...
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Báo cáo hóa học: " Research Article The Existence of Positive Solutions for Third-Order p-Laplacian m-Point Boundary Value Problems with Sign Changing Nonlinearity on Time Scales" ppt
... obtained the existence of at l east double and triple positive solutions of the problems by using a new double fixed point theorem and triple fixed point theorem,respectively.In 18, Zhou and Ma ... existence of solutions for the nonlinear boundary value problem byusing Krasnoselskii’s fixed point theorem and Leggett and Williams fixed point theorem,respectively.In 9, 10, He considered the existence ... s|2.2 for all s ∈ U. For f : T → R and t ∈ Tk, the nabla derivative of f at t, denoted by f∇tprovided itexists with the property that for each >0, there is a neighborhood U of t such...
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Báo cáo hóa học: " Research Article The Optimal Convex Combination Bounds for Seiffert’s Mean" doc
... referees for their very careful reading of the paper and fruitful comments and suggestions. This research is partly supported by N S Foundation of Hebei Province Grant A2011201011, and the Youth ... b1.5holds for all a, b > 0witha/ b. For more results, see 9–23. The purpose of the present paper is to find the greatest values α1,α2 and the leastvalues β1,β2such that the double ... F. Qiu, M K. Wang, and G D. Wa ng, The optimal convex combination bounds of arithmetic and harmonic means for the Seiffert’s mean,” Journal of Inequalities and Applications, Article ID 436457,...
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báo cáo hóa học:" Research Article The Permanence and Extinction of a Discrete Predator-Prey System with Time Delay and Feedback Controls" ppt
... contradiction. Therefore, the conclusion of Theorem 3.2 holds. This completes the proof of Theorem 3.2.In order to obtain the permanence of the component yn of system 1.3, we nextconsider the following ... criteria for the existence, uniqueness, and stability of apositive periodic solution and a boundary periodic solution. At the end of their paper,numerical simulation results that complement their ... coefficient of the predator at timen, respectively. a12n denotes the capturing rate of the predator; a21n/a12n represents the rate of conversion of nutrients into the reproduction of the...
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báo cáo hóa học:" Research Article Global Existence and Asymptotic Behavior of Solutions for Some Nonlinear Hyperbolic Equation" ppt
... ∞utt 0 and limt → ∞∇utp 0. The proof of Theorem 2.8 is thus finished.4 Journal of Inequalities and ApplicationsLemma 2.5. Assume that the hypotheses in Theorem 2.4 hold, thenr − ... nonexistence theorems for nonlinear evolution equations, ” The Quarterly Journal of Mathematics, vol. 28, no. 112, pp. 473–486, 1977.8 H. A. Levine, “Instability and nonexistence of global solutions ... wave equations of the form Putt Au Fu,” Transactions of the American Mathematical Society, vol. 192, pp. 1–21, 1974.9 H. A. Levine, “Some additional remarks on the nonexistence of global...
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Báo cáo hóa học: " Research Article QoS-Aware Active Queue Management for Multimedia Services over the Internet" potx
... 23%,meaning that the DRBS does not allocate the bandwidthto the 4th layer video stream. The UVBR dropping rateis between 23% and 30%, and in the case of the arrivalrate of the CBR being between ... layer of SVC. In DWAS, only the bandwidth of the first video layer is allocated, that is, lb1, to meet minimumrequirement of t2 and t3.Fort4, the bandwidth is allocatedas the maximum of ... lb1 and BCBRin DWAS. If there isresidue bandwidth, then DRBS is executed. The final step of DWAS is to normalize the weights of each traffictype. The purpose of DRBS is to allocate the residue bandwidthin...
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