use of differential equations in economics

... methods as well as results in the area In recent years, there has been an increasing interest in extending certain classical results to differential equations in Banach spaces In this book we will ... abstract functional differential equations with infinite delay, there are three kinds of definitions of stabilities In Sections and 4, we prove some equivalence of these definitions of stabilities ... the case of almost periodic solutions of (linear and nonlinear) equations in Banach spaces To this end, in the first chapter we present introductions to the theory of semigroups of linear operators

Ngày tải lên: 29/10/2015, 12:32

... nonlinear integral inequalities and their applications in the qualitative analysis of differential equations Bin Zheng 1* and Qinghua Feng 1,2 * Correspondence: zhengbin2601@126.com 1 School of ... Keywords: integral inequality, global existence, integral equation, differential equa- tion, bounded 1 Introduction During the past decades, with the development of the theory of differential and integral ... validity of the present integral inequalities. 2 Main results In the rest of the paper we denote the set of real numbers as R,andR + =[0,∞)isa subset of R. Dom(f)andIm(f) denote the definition domain

Ngày tải lên: 21/06/2014, 01:20

... variationof-constants formula in the theory of linear ordinary differential equations So, we often call the representation formula obtained here the variation-ofconstants formula in the phase space Such ... is finite dimensional, the representation formula for functional differential equations has been established by Hale [5] in the case of finite delay and by Murakami [16] in the case of infinite ... references therein for more information of the theory of admissibility of function spaces with respect to linear equations in the bounded as well as the unbounded case In what follows, we shall investigate

Ngày tải lên: 17/12/2017, 16:49

... compression permits retaining the depth ordering information, which reduces the ghosting effects in the non-overlapping areas in the anaglyph. Therefore, the dynamic range reduction of the disparity ... City, Mexico 2 Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Moscow, Russia Competing interests The authors thank the National Polytechnic Institute of Mexico and ... right images in each decomposition level s,and P i s sliding processing window. Finally, the disparity map for each level of decomposition is computed by applying the NNI technique. In this work,

Ngày tải lên: 20/06/2014, 22:20

... solutions on different kinds of deterministic differential equations have been considerably investigated in lots of publications [5-15] because of its signifi- cance and applications in physics, mechanics, ... Advances in Difference Equations 2011, 2011:9 http://www.advancesindifferenceequations.com/content/2011/1/9 Page 7 of 12 Thus, using an estimate on Ito integral established in Ichikawa [26], we obtain ... Our main result is established by using fractional powers of linear operators and Banach contraction principle. The obtained result can be seen as a contribution to thi s emer- ging field since

Ngày tải lên: 21/06/2014, 03:20

... properties of linear Volterra integro-differential equations, ” Mathematical Models & Methods in Applied Sciences, vol 18, no 1, pp 21–45, 2008 L Pandolfi, “Riesz systems and controllability of heat equations ... Mathematics, Springer, Berlin, Germany, 1998 12 Advances in Difference Equations T Xiao and J Liang, “Laplace transforms and integrated, regularized semigroups in locally convex spaces,” Journal of Functional ... A −1 2.24 in the second equality of 2.23 is bounded Hence, noting that iλ β y g0 ≤2 iλ iλ β y β · y g0 2 2β g 2.25 , we have iλ ∈ ρ A|D for each λ ∈ R 2.26 Consequently, in view of a of Theorem

Ngày tải lên: 21/06/2014, 05:20

... denominators in both equations are equal This allows us to use some of the techniques developed in to completely obtain the solutions and give a nice description of the dynamics of the system In ... continuity of q in the semispace z > 6 Advances in Difference Equations Case β2 Recall that, since we are assuming that inequality 2.6 holds, we have β1 α2 / In this case, the forbidden set of ... one of the periodic solutions The remaining cases are jointly treated in the following result All the definitions and results on nonnegative matrices, which are used in its proof, may be found in

Ngày tải lên: 21/06/2014, 05:20

... Andrzej Szulkin We discuss on the generalized Ulam-Hyers stability for functional equations in a single variable, including the nonlinear functional equations, the linear functional equations, ... in any medium, provided the original work is properly cited. 1. Introduction and preliminaries The study of functional equations stability originated from a question of Ulam 1940 concern- ing ... existence of a mapping c : G → Y such that the following hold. i c is a fixed point of J,thatis, w ◦c ◦ ηxcxhx, ∀x ∈ G. E w,η  The mapping c is the unique fixed point of J in the set

Ngày tải lên: 22/06/2014, 06:20

... inequality (2.3) implies The following definition, which is a modified version of one introduced in [3], provides a kind of the strict inequality in X Definition 2.5 Let H be a linear manifold in ... = in the topology of X Since (2.21) can be rewritten in the form of the inclusion βm f − x, βm f + x ⊂ K, (2.22) taking into account the closedness of K and passing to the limit as m → +∞ in ... considered in [8] Functionals of this kind are quite often used in the literature (see, e.g., [7, 9–12]) For a suitable f , there is a close interplay between K and the set of zeroes of the mapping

Ngày tải lên: 22/06/2014, 18:20

... family of dichotomy projections {Pn }n∈N satisfying kerP0 = Z (ii) TZ : lZ → l p is invertible p Proof We first note that the following proof is inspired by the proof of [14, ... Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics, vol 840, Springer, Berlin, 1981 [8] N T Huy, Exponential dichotomy of evolution equations and admissibility of ... dichotomy of evolution equations on the. .. Stability of the notion of dichotomy of linear impulsive differential equations in a Banach space, Italian Journal of Pure and

Ngày tải lên: 22/06/2014, 22:20

... equicontinuous subset of P, then U is relatively well-order complete in P in the sense that all well-ordered and inversely well-ordered chains of U have supremums and in? ??mums in P. Proof. (a) In both cases ... discontinuous, because the dependencies of c, d, and f on u can be discontinuous; (iv) problems on an in nite interval, because cases a = −∞ and/ or b = ∞ are included; (v) finite... increasing ... definition (2.1)ofP. If W is an inversely well-ordered chain in U,then−W is a well-ordered chain in −U. The above proof ensures that v = sup(−W) exists in C(J,E) and belongs to P.Thus, inf W =−v exists

Ngày tải lên: 23/06/2014, 00:20

... statement oStatement of retained earnings oStatement of cash flows • Differences of use of Financial statements in Accountancy vs Finance Definition of Financial statements Financial statement ... Statement of Retained Earnings • Definition: a statement of retained earning shows how the net income and distribution of dividends affected the financial position of a company during the accounting ... companies use to reinvest in the core business of it • Provide for shareholders and those who want to use the information in financial statements about the effectiveness of using retained earnings

Ngày tải lên: 12/07/2014, 14:20

... used in the thesis is mainly secondary ones including: (i) Statistics of the General Statistic Office and Statistics Bureaus of provinces, cities in NKER; (ii) Reported data of Ministries: Ministry ... lack of investment, but also has important meanings in innovating technologies, enhancing the level of management, promoting marketing activities, increasing the export manufacture ability of the ... considered in moderation within influential factors, causes of limitations of FDI towards sustainable development; (iv) sustainable development are defined as targets of FDI managers, not included in

Ngày tải lên: 14/07/2014, 13:33

... transfer by industries is the process of changes in ratio and quality of labor in different industries in a specific period of time, in a certain environment and of a certain trend In fact, labor ... resulted in 5,94% increase in work productivity; 1% increase in labor in industry- 16 construction resulted in 35,56% increase in work productivity; and for commerceservice, 1% increase in labor in ... transfer by industries in the direction of modernization and industrialization and international integration, following targets should be set: ratio of labor with training of 55% in 2015 and 70% in 2020,

Ngày tải lên: 14/07/2014, 13:33

... number of alleles per marker. With totally informative markers, the benefits of using an increasing number of them followed the law of diminishing returns. The use of one ... retained at generation 15, whereas if the number of initial alleles was two, both of them were retained (n a = 1.91). A way of diminishing genotyping costs is to use ... studied issue is the usefulness of markers in delaying the inevitable loss of genetic variability in a population of limited size in the generations following its foundation Monte...

Ngày tải lên: 09/08/2014, 18:21

... 200/50) used, the number of offspring can be much larger With ten offspring per dam and recording before selection,... certainty In particular, when there is little recombination within marker ... probability instead of using one marker that is linked to a QTL; 2) the inclusion of marker information... that in the case of selection before recording, non-MAS genetic gain is higher ... generation of selection Increased numbers of offspring per dam In the previous situations, the number of offspring per dam was limited to four In pigs and in cattle, when modern reproductive

Ngày tải lên: 09/08/2014, 18:22

... pain near the side of heart Infections Infected wounds, skin wounds, wounds, infection, infection diseases Pain Headache, stomachache, rheumatism, body pain, leg pain, backbone pain, joint pain, ... Traditional medicine in Nepal is used extensively by majority of the population, and includes Ayurveda, traditional Chinese medicine (TCM), Unani and various forms of indigenous medicine including Tibetan ... traditional method of maintaining the good quality of herbal medicine is unique. For centuries, Amchi have been stor- ing herbal medicine in a bag created from the skin of M. chrysogaster skin, which

Ngày tải lên: 10/08/2014, 09:21

... Corresponding author Abstract The mammalian target of rapamycin (mTOR) is an intracellular serine/threonine protein kinase positioned at a central point in a variety of cellular signaling cascades. ... development of resistance to these agents. The results of ongoing clinical trials with mTOR inhibitors, as single agents and in combination, will better define their activity in cancer. Competing interests ... Rüschoff J, Langner C: Analysis of insulin-like growth factors and insulin-like growth... clinical trial of daily and weekly RAD001 in combiantion with vinorelbine and trastuzumab in

Ngày tải lên: 10/08/2014, 22:20

... the role of masculinity in influencing African men’s use of HIV services Our findings suggest that HIV service uptake in this context is deeply intertwined with hegemonic masculinities, intensified ... shortages In mapping out the social representations of masculinity that limit men’s uptake of services, we draw on a study of the user-service interface, involving 78 participants - including male ... constructions of masculinity interact and conflict with AIDS treatment? Gendering of therapeutic citizenship The concept of therapeutic citizenship provides a useful frame for our investigation of the interface

Ngày tải lên: 11/08/2014, 14:21

... the design of the study, in the analysis and interpretation of data, and drafting of the manuscript. AD was responsible for the Danish arm of EXACTLE and reviewing/contributing to writing the manuscript. ... was 67, and 10 patients (3 in the Prolas- tin group and 7 in the placebo group) discontinued prematurely, resulting in a median of 127 weeks of expo- sure to Prolastin and 108 weeks to placebo. ... differences in inspiratory level [10,13], a significant decline in lung density is evident using all of the indices included, con- sistent with emphysema progression. A trend suggestive of a treatment

Ngày tải lên: 12/08/2014, 14:20