existence and uniqueness of the determinant

... and synthesis issues of fuzzy PDEs are of both theoretical and practical importance In the paper Bertone et al (2013) the authors considered the existence and uniqueness of fuzzy solutions for ... ensure that the fuzzy solutions exist without any condition on data and the boundary of the domain New weighted metrics are used 123 The existence and uniqueness of fuzzy solutions and suitable ... chosen in order to prove that the existence and uniqueness of fuzzy solutions only depend on the Lipschitz property of the right side of the equations Moreover, the problems with fuzzy integral

Ngày tải lên: 16/12/2017, 08:45

... a contraction, and show the existence and the uniqueness of the solution in this space Finally, Section recapitulates the overall procedure of the article, and explains some of the intuitions ... us to use the usual argument of the Banach fixed point theorem, and to prove the existence and the uniqueness of the fixed point of Ψ, which is the solution of the differential equation (2), at ... with the physical intuition that the norm of the resulting beam deflection cannot be too large compared to that of the input loading w Meanwhile, the nonlinearity and the non-uniformity of the

Ngày tải lên: 20/06/2014, 20:20

... , u 2 ∈ R . 2 Existence and uniqueness In this section, we show the local existence and uniqueness of weak solutions of (1.1)- (1.3). First, we show the local existence results. Theorem 2.1. Assume ... carried out the proof of existence, BW conceived of the study, and participated in its design and coordination. All authors read and approved the final manuscript. Competing interests The authors ... technique, we obtain the local existence of solutions to the Dirichlet initial boundary value problem. We also establish the uniqueness of the solution if the reaction terms satisfy the Lipschitz condition.

Ngày tải lên: 21/06/2014, 03:20

... Turkey Full list of author information is available at the end of the article Abstract In this manuscript, by using the fixed point theorems, the existence and the uniqueness of solutions for ... point theorem; multi-term nonlinear fractional differential equation Introduction The study of fractional differential equations ranges from the theoretical aspects of existence and uniqueness of ... u() = , where  < α ≤ ,  < β ≤ , and f is continuous on [, ] × R × R [] In , Su and Zhang studied the existence and uniqueness of solutions for the following nonlinear two-point fractional

Ngày tải lên: 02/11/2022, 10:38

... cheese, and, on the other hand, to establish the influence of the smoking process on the volatile profile of this type of cheese This will contribute to define the aromatic profile of this type of ... means of SPME followed by GC/MS for the subsequent study of the extracted compounds The purpose of this work is, on the one hand, to characterize the components of the headspace of unsmoked and ... derivatives and ethers detected in the headspace of the exterior region of unsmoked (U) and smoked (A and B) Herreño cheeses studied, together with their molecular weight, the base peak of their mass

Ngày tải lên: 19/11/2022, 11:42

... and an Existence one The Verification Theorem asserts that if a classical solution to the HJB equation exists, then it has to be the value function This Theorem also proves the existence of an ... with the same constants L1 and K1 defined in H1 For the rest of the paper without mentioning it we will allways consider for the functions b and σ their respective extensions ˆb and σ ˆ and denote ... = ∅ then we are only assuming the local ellipticity in the set [0, ∞) × Rd The next proposition presents some of the properties of the process (ξ(s), X(s)) Proposition 2.1 Assume H1, then the

Ngày tải lên: 24/11/2022, 17:57

... , ξ2  Also xξ1   Therefore, xt ≡ for t ∈ 0, 2π, a contradiction The proof is complete Proof of Theorem 1.1 Firstly, we prove the existence of the solution Consider the homotopy equation ... prove the uniqueness of the equation when the condition H1  and H2  holds Let x1 t and x2 t be two 2π-periodic solutions of the problem Denote x0 t  x1 t − x2 t, t ∈ 0, 2π, then ... ft, x, x   By constructing upper and lower boundaries and using Leray-Schauder degree theory, we present a result about the existence and uniqueness of a periodic solution for secondorder

Ngày tải lên: 14/07/2023, 09:44

... The proof of uniqueness part is a verbatim repetition of the proof of Theorem 6 in 3. We omit the details. As an application of Theorem 2.5, we will prove a theorem on the existence and approximation ... that the function ϕ satisfies either of the conditions i or ii of Lemma 2.2, then all three theorems Theorems 10, 11, and 12 of 3 can be generalized to cyclic ϕ-contraction maps. We omit the ... the existence of best proximity points for cyclic ϕ-contraction maps in reflexive Banach spaces in one of their works 2009. In the second part of the paper, we will discuss the existence of best

Ngày tải lên: 21/06/2014, 17:20

... show the existence of approximate solutions of the auxiliary problems for the equilibrium problem, and establish the strong convergence of the approximate solutions to an exact solution of the ... ν. Then, the assumption (iv) of Theorem 3.2 holds. Therefore, our results extend, improve, and unify the corresponding results obtained by Chen and Wu in [19]. Theorem 3.4. Let K and X be the ... Assumption (iii) of Theorem 3.2 can be obtained by Lemmas 2.12 and 2.13, and conditions (i) and (iii) (see [2]) Thus, the conclusions of the theorem follows from the argument similar

Ngày tải lên: 22/06/2014, 18:20

... by the founding member s ZmSUN3, ZmSUN4,andZmSUN5. A summary of the five maize SUN-domain protein genes is provided in Table 1 and the properties and mo tifs of the CCSD and PM3 subfa- milies of ... interrupts the SUN domain (between K364 and V365 in the ORF of ZmSUN1 and between K338 and D339 in the ORF of ZmSUN2; Figure 2A). This ances tral intron position may be a hallmark of this class of SUN ... within the maize SUN genes s howed that the gene structures are conserved within each class. The CCSD genes had two or three exons, and the SUN domain was spl it between the exons. On the other hand,

Ngày tải lên: 11/08/2014, 11:21

... 585-594] The authors have proved the existence and uniqueness of the wave However, they were not successful in obtaining an analytical exact formula for the wave velocity The main purpose of this ... using the complex function method, an analytical exact formula for the velocity of Rayleigh waves has been derived Furthermore, from the obtained formula, the existence and uniqueness of the wave ... half-space The authors have proved the existence and uniqueness of the wave However, they were not SC successful in obtaining an analytical exact formula for the wave velocity M AN U The main purpose of

Ngày tải lên: 03/06/2017, 21:39

... believe they currently use NASSP’s (2014) 10 leadership skills, and their perceptions of the importance of these skills to the process of school change In a webbased administration of the survey, ... examining their use and perceived importance of NASSP10 leadership skills required to lead the process of change under the ministry of education new vision and expectations The purpose of this ... assess their current use of the 10 Skills for Successful School Leaders (NASSP, 2014) in their work as school leaders and determine how they rate the importance of having these skills as leaders of

Ngày tải lên: 23/10/2022, 04:35

... in the proof of the uniqueness of strong solutions Global existence of strong solutions In this section, we prove the global existence of strong solutions to the problem 1.2 – 1.7 by applying the ... well This completes the proof of Theorem 1.1 except the uniqueness assertion because of the presence of vacuum , which will be proved in the next section Uniqueness and stability of strong solutions ... 1.7 mean that the boundary is nonslip and impermeable The purpose of the present paper is to study the global existence and uniqueness of strong solutions of problem 1.2 – 1.7 The important...

Ngày tải lên: 22/06/2014, 06:20

... in the proof of the uniqueness of strong solutions Global existence of strong solutions In this section, we prove the global existence of strong solutions to the problem 1.2 – 1.7 by applying the ... well This completes the proof of Theorem 1.1 except the uniqueness assertion because of the presence of vacuum , which will be proved in the next section Uniqueness and stability of strong solutions ... 1.7 mean that the boundary is nonslip and impermeable The purpose of the present paper is to study the global existence and uniqueness of strong solutions of problem 1.2 – 1.7 The important...

Ngày tải lên: 22/06/2014, 19:20

... (1.5) The proofs rely on the a priori bounds on solutions of Section and the nonlinear alternative The following theorem gives the existence of solutions to the Dirichlet BVP on time scales Theorem ... operator by the Arzela-Ascoli theorem Therefore, Theorem 1.8 is applicable to T and T must have a fixed point Hence the BVP has a solution This concludes the proof The following theorem gives the existence ... R on [a,σ (b)] (and there may exist further solutions satisfying y(t0 ) ≥ R for some t0 ∈ [a,σ (b)]) Proofs The proofs follow the modification technique of Theorems 3.6 and 3.7 and so are omitted...

Ngày tải lên: 23/06/2014, 00:20

... theorem, we have the conclusion of the theorem Remark 3.3 In Theorem 3.2, if we furthermore suppose that the hypothesis H4 − f t, v t f t, u t ≤L u−v , L > 0, 3.28 holds, then we can obtain the ... operators on a Banach space X The function a · is real valued and locally integrable on 0, ∞ , and the nonlinear maps f and g are defined on 0, T × X into X New existence and uniqueness results are given ... as a consequence of the continuity of S t in the uniform operator topology for t > by the compactness of S t So I3 → as t2 → t1 → 0, as t2 → t1 , which is independent of u Therefore Φ is Thus,...

Ngày tải lên: 21/06/2014, 16:20

... suggestions and comments, which improved the quality of this paper The work was supported by the NSF of China, the NSF of Jiangxi Province of China 2008GQS0057 , the Youth Foundation of Jiangxi ... section, we prove an existence and uniqueness theorem for 1.1 Theorem 2.1 Suppose the following assumptions hold: A1 g ∈ C1 R, R and g x < for all x ∈ R; A2 there exist a constant r ≥ and a function ... special case and its variants, where ϕp s of 1.1 However, there are seldom results about the existence of periodic solutions to 1.1 The main difficulty lies in the p-Laplacian-like operator ϕ of 1.1...

Ngày tải lên: 21/06/2014, 18:20

... solution of the BVP 1.1 and 1.2 Next, we show the uniqueness of solutions of the BVP 1.1 and 1.2 Assume, to the contrary, that there exist two nontrivial solutions y1 and y2 of the BVP 1.1 and 1.2 ... relax the assumptions A1 and B1 on the nonlinear term, without demanding the existence of upper and lower solutions, we present conditions for the BVP 1.1 and 1.2 to have a unique solution and then ... 1–7 and references therein Especially, there was much attention focused on the existence and multiplicity of positive solutions of fourth-order problem, for example, 8–10 , and in particular the...

Ngày tải lên: 21/06/2014, 18:20

... completes the proof of the theorem Boundary Value Problems 13 Theorem 3.2 Assume that conditions C0 , C1 , and C2 are satisfied Then SBVP 1.1 , 1.2 has exactly one positive solution Proof The uniqueness ... completes the proof of the lemma Lemma 2.7 Assume that conditions C0 , C1 , and C2 are satisfied Then, the unique solution u t; h of BVP 2.1 h is nondecreasing in h Proof Let < h2 < h1 , and let ... s ds Take t ∈ 0, and Δt such that t Δt ∈ 0, , then from the definition of derivative, the mean value theorem of Boundary Value Problems integral, and the absolute continuity of integral, we have...

Ngày tải lên: 21/06/2014, 18:20