... Inequalities and Applications introduced in [4] by Huang and Yang They relaxed the convexity on the augmented function, and many papers in the literature are devoted to investigate augmented Lagrangian problems ... Lagrangian problemand that of primal problem As we known, Ekeland’s variational principle and penalty function methods are effective tools to study approximate solutions of constrained optimization problems ... Lagrangian problem We prove that the approximate stationary points of the generalized augmented Lagrangian problem converge to that of the original problems Our results generalized Huang and Yang’s...
... fixed point theory 1, 3, 5–7 , the method of upper and lower solutions , and critical point theory 9, 10 are widely used to deal with the existence of solutions for the boundary value problems of ... completes the proof of Theorem 4.1 Theorem 4.2 Suppose that f n, z satisfies the assumptions P1 , P2 , and P3 Then BVP 1.5 possesses at least two nontrivial solutions To prove Theorem 4.2, we need the ... to the critical value c of J, that is, J u Clearly, u / since c > On the other hand, by Theorem 4.1, J has a critical point u satisfying J u supu∈Rk J u ≥ c If u / u, then Theorem 4.2 holds Otherwise,...
... explains the frequency and distribution is critical to the satisfaction of the business environment in economic and financial activities of the project in the province The indicator, “There is ... CONCLUSIONS AND RECOMMENDATIONS This chapter presents the summary of the research, the findings, the conclusions andthe recommendations to further improve investment environment in a prospect for the ... Through the data, the researcher 44 discovered that the projects of the enterprises in the province is 15-200 billion of capital from the majority and say the project size is not large The present...
... about the thesis First, the rationale is about the main reasons which enhance the author to this thesis Then, the purpose of the study introduces the aims to the thesis Andthe scope of the study ... elements: the sender, the message andthe listener The sender, such as the speaker, the television, the radio, the tape recorder, etc., gives out the message The message is what is said Andthe listener ... gives the details about the objects that the thesis studies andthe main content that the thesis covers Next, the methodology research is summarized in the method of the study Finally, the organization...
... carry out the study of identifying the common errors of grammar and lexis and helping them find out the effective solutions Method of study With the purpose of the study is to help the first ... general understanding of errors in writing compositions The major aim is identifying the grammatical and lexical errors in details, their possible causes of making these errors and suggested solutions ... speakers, who use them all the time On the other hand, other combinations may be unnatural and just sound "wrong" (www.learningenglish.com) E.g: The gangsters live by dirty money The “dirty money”...
... Incorrect: The jockeys were exercising their horses; the troughs were being filled by the grooms; andthe stable boys were laying out the hardnesses Correct: The jockeys were exercising their horses; the ... as subject of a verb and they are connected to each other by the conjunction ―or‖, the one which stands closely to the Verb will decide the verb Ex: You or he is to feed the cat Incorrect: We ... Therefore, learners have to distinguish between the use of the present perfect tense andthe simple past tense There always have some signals to highlight the form of these two tenses While the...
... includes the aims, the description of the subjects, research setting, andthe ways to carry out the study The results of the study are presented followed by the discussion and analysis of the data The ... instruments and procedures It also presents the results collected from the questionnaire andthe analysis of errors made by students from their homework papers and midterm tests in the form of tables and ... by the discussion and analysis of the data Chapter III includes the implications and suggestions for teaching paragraph writing The third part “Conclusion” summarizes the main points and the...
... care to the accuracy of the content andthe fluency of technical speaking Normally, accuracy is the content of the talk or the conversation 25 andthe fluency is the way students present their ... keep the balance between the content andthe form of the talk or the conversation If teachers control the activities well, the students may avoid the mistake that the talk is too long but the ... of the thesis In this chapter, the information about the aims, scopes andthe research methods of the study are mentioned The second chapter is named Theoretical background In this chapter, the...
... change the cituation for better (increase the passing capacity of the roads that doesn’t cope with the growing number of cars and other carriers, build new roads and rearrange the traffic within the ... another highly probable reason is that the city administration doesn’t show the proper interest and enough initiative in solving this particular problem; 3) andthe last but not the least problem ... and consequently they not their best, other thing which should be mentioned is the wrong schedule of the bus routes (which doesn’t take a proper account of the interests of the passengers); and...
... of the study This study is divided into three parts The first part introduces the rationale for the study carried out by the researcher, the aims of the study, the scope of the study, andthe ... feasible solutions to the discovered problems in order to minimize them, and to maximize the effectiveness of vocabulary learning at the university The statistics from the students’ tests andthe ... causes of the above problems, it is still worth further discussing them, since a deeper understanding is greatly significant to help the researcher to find out the best solutions to those problems...
... Italy, Russia The Netherlands, England, United States, Canada B alba Mustard (black, white, yellow brown, red) Nutmeg Southern Asia Indonesia and East Malaysia Northern Africa, Greece and other Mediterranean ... reductants or oxidants in the medium Lacking a covalent complex, either state can coordinate water The structure and chemistry of the iron atom are keys to understandingthe reactions and color changes ... donor ligands by both electrostatic and covalent interactions, depending upon the electrondonating potential and spatial arrangement of the ligand Because these potentials vary, the energy of the...
... pathways, and hence changes in the flux of glycogen synthesis and degradation, pentose phosphate cycle, and glycerol and triacylglycerol synthesis might affect the concentrations of these metabolites ... instance, the nonlinear regression for the titrations with 2-deoxyglucose and arsenite gave eCFBP and ePFBP of 1.99 ± 0.79 and )1.5 ± 1.6, which yielded the CJc and CJP of 0.39 ± 0.24 and 0.61 ... (d), AMP (n) and NH4+ (m), in the presence of mM Fru6P and 0.8 mM ATP (n ¼ 10) and 1.7 ± 0.7 mm (n ¼ 6), respectively Thereafter, the PFK-1 activity was determined in the presence of the intracellular...
... outcomes if the set of possible outcomes is not clearly defined We shall therefore regard the measurement problem as composed of both theproblem of definite outcomes andtheproblem of the preferred ... interpreted as the environment determining the properties of the system In this sense, the decoherence program has embedded the rather formal concept of measurement as proposed by the Standard andthe Copenhagen ... worlds and minds; and whether there is an actual (physical) or only perspectival splitting of the worlds and minds into the different branches corresponding to the terms in the superposition: does the...
... (1.5) The proofs rely on the a priori bounds on solutions of Section andthe 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 ... (b)] (and there may exist further solutions satisfying y(t0 ) ≥ R for some t0 ∈ [a,σ (b)]) Theorem 3.9 Let the conditions of Theorem 3.4 hold with (2.1) replaced by (3.23) and D /β < R Then the...
... probability is and to the lower class otherwise The probabilistic analog of Theorem 1.1 states that if h ∈↑ and if t −1/2 h ∈↓ for small t > 0, then h belongs to the upper class or to the lower class ... boundary Ω, and basic facts about Perron’s solution, super- and subsolutions of the FBVP, we refer to the paper in [1] It is a standard fact in the classical potential theory that the boundary ... consideration of the domain Ωδ is theproblem about the local asymptotic behavior of the Brownian motion trajectories for the diffusion processes We briefly describe the probabilistic counterpart of Theorem...
... more details, the trend is these days, with the same volume of natural resources, people can produce more and more power than their fathers and grandfathers could Moreover, due to the lack of information, ... judgment on the trustworthiness of this model, see the 12 technical criteria listed at the bottom of the table The nearer to the R-squared and Adjusted R-squared criteria are, the more exactly the model ... judgment on the trustworthiness of this model, see the 12 technical criteria listed at the bottom of the table The nearer to the R-squared and Adjusted R-squared criteria are, the more exactly the model...
... literature on the 3-dimensional dimer problemandthe 3-dimensional Ising problem is vast but there is a general feeling and some evidence (see e.g [12]) that no closed solution similar to thesolutions ... the base B0 , andthe embedding of each edge uses at most one bridge The set of the edges embedded entirely on the base will be denoted by E0 andthe set of i i the edges embedded on the bridge ... representing the edges of Hx are pairwise disjoint and for x = 2, , m − the curves representing the edges of Hx intersect the curves representing the edges of Hx−1 and Hx+1 We keep the following rule: the...
... solved in his thesis the circular arrangement problem for the hypercube, and Bezrukov and Schroeder [1], who showed that for trees thesolutions for the linear arrangement problemandthe circular ... paths on the circle, into which the edges of the graph G are embedded on the circle, over all placements; and edges are embedded onto the shorter side of the circle The circular arrangement problem ... bound for the usual linear arrangement problem Recall that the linear arrangement problem requires the placement of the vertices of the graph into integer positions, and minimizes the sum of...