application of first order differential equation in real life

... contraction mapping principle implies that A n0 has a unique fixed point x∗ in CI, and so  A has a unique fixed point x∗ in CI; by the definition of  A, A has a unique fixed point x∗ in CI, ... by using cone expansion-compression fixed point theorem In 3, the singular third-order three-point BVP1.1 is considered under some conditions concerning the first eigenvalues corresponding ... Iterative Solutions of Singular Boundary Value Problems of Third-Order Differential Equation Peiguo Zhang Department of Elementary Education, Heze University, Heze 274000, Shandong, China Correspondence

Ngày tải lên: 21/06/2014, 05:20

... Huy (HUST) Infinite Series and Diff Eq 2/9 3.4 Integrating Factors: In general, Equation (1) is not exact Definition A function I (x, y ) = is an integrating factor for (1) if the equation I ... Huy (HUST) Infinite Series and Diff Eq 3/9 3.4 Integrating Factors: In general, Equation (1) is not exact Definition A function I (x, y ) = is an integrating factor for (1) if the equation I ... x2 ; Integrating factor I (x) = e − N ∂y ∂x The Eq ⇔ xy2 dx − x1 dy = which is exact The solution is Linear Equations dx x y x = x2 = C 4.1 Definition A first-order linear differential equation

Ngày tải lên: 23/04/2020, 08:00

... biomass of a first-order branch RBH Ratio of the height of the base of a first-order branch to tree height BE cm year –1 Elongation of a first-order branch per year FBbmI g year –1 Increment in foliar ... foliar biomass of a first-order branch per year WBbmI g year –1 Increment in woody biomass of a first-order branch per year TBbmI g year –1 Increment in total biomass of a first-order branch per ... all of the new first-order branches (>5 cm in length) were sylleptic The remain-ing (3%) of the new branches attained the threshold of 5 cm in the year following the development of the main

Ngày tải lên: 08/08/2014, 14:22

... f differential equations of tria n g u la r fo r m and those, o f truncated differential equations I Introduction Let us consider in a given separable Hilbert space // differential equations of ... conditions of global theorem on the existence and uniqueness of solutions (see e.g p 187-189]) An interesting problem studied in the qualitative theory of solutions of ordinary differential equations ... reduced to the one of (3) and (4) Then' are SOII1 P results on the stability of this class of differential equations (see [2, 7Ị) I I M ain R esults We assume in this section the following conditions:

Ngày tải lên: 14/12/2017, 19:52

... States This equation incorporates six key factors that influence soil erosion rates.Since 1990, the application of Geographic Information Systems (GIS) in assessing soil erosion in Vietnam has ... researches, with 8.250 experimental indice of 35 stations, Wishmeier (1985) found the product between kinetic energy of rain and maximum rainfall intensity in 30 minutes singned EI30 This value reflect ... ammount of soil loss and rain mode Wishmeier proposed equation to calculate R fsctor based on EI30 as follow: In which: R: Rainfall and runoff erosivity index I 30: Maximum rainfall in 30 minutes

Ngày tải lên: 23/06/2021, 16:50

... 557.9 hectares of vacant land (Forest Inventory and Planning Institute of VFU) The region experiences a rainy season that accounts for over 70% of total rainfall, leading to flooding in the headwater ... effect of rain and flow to on erosion Figure 4.2 R factor map in Lam Son commune Table 4.2 K index of some types of soil in Lam Son Commune Symbol K index Total area (km 2 ) The findings indicate ... researches, with 8.250 experimental indice of 35 stations, Wishmeier (1985) found the product between kinetic energy of rain and maximum rainfall intensity in 30 minutes singned EI 30 This value reflect

Ngày tải lên: 23/06/2021, 17:16

... (Forest Inventory and Planning Institute of VFU) The region experiences a rainy season accounting for over 70% of total annual rainfall, often leading to flooding in the headwater catchment of the ... as engaging in cattle grazing and poultry farming Key weather data indicative of the regional climate are summarized in the accompanying table. Table1.1 Basis criteria datum of weather in the ... reflecting seasonal variations in moisture content.The wind regime in the study area is primarily characterized by two main wind directions: the Southeast wind, which predominates during the rainy

Ngày tải lên: 08/08/2023, 01:10

... generalized functions Also, using the fundamental solution of the heat equation, we obtain the general solution and prove the Hyers-Ulam stability of this equation in the spaces of generalized functions ... differentiability up to a certain order of the unknown functions, which is not required in direct methods From this point of view, there have been several works dealing with functional equations based on ...  Bx, xAx In addition, Jung16 investigated Hyers-Ulam stability of 1.1 on restricted domains, and applied the result to the study of an interesting asymptotic behavior of the quadratic

Ngày tải lên: 22/06/2014, 02:20

... We obtain new sufficient conditions for the oscillation of all solutions of first-order delay dynamic equations on arbitrary time scales, hence combining and extending results for corresponding differential ... lim inf on both sides of 2.22 , we get lim inf yx t ≥ lim inf zn0 t αn0 t t→∞ t→∞ ≥ lim inf zn0 t lim inf αn0 t t→∞ 2.17 2.23 t→∞ lim inf yx t lim inf αn0 t , t→∞ t→∞ which implies that lim inft ... every solution of 1.9 is oscillatory on t0 , ∞ T Proof The proof follows from Lemmas 2.1, 2.2, and 2.5 Remark 2.7 We obtain the main results of 7, by letting n0 in Theorem 2.6 In this case, we

Ngày tải lên: 22/06/2014, 11:20

... defining of α0:J N → Ras the unique solution of the initial problem (P N ξ ), it turns out thatα0andβ verify condition (H) and v is the minimal solution in [α0,β] of problem (P N) Hence, the first ... solution 0 as a fixed point of operator T, then it is the limit of a strictly increasing sequence of strict lower solutions (y n < T y ninJ N) and a strictly decreasing sequence of strict upper solutions ... Cabada, V Otero-Espinar, and R L Pouso, Existence and approximation of solutions for first-order discontinuous difference equations with nonlinear global conditions in the presence of lower and upper

Ngày tải lên: 23/06/2014, 00:20

... carrying the fluorescent vari-ant of eMLV Env and the MA domain of HIV-1 Gag fused to another fluorescent protein Here, we report single par-ticle tracking of >20,000 individual traces of double-fluo-rescent ... Visualization of individual fusion events by single particle tracing After monitoring overall virus-cell fusion by fluorescence microscopy, we were next interested in visualizing and characterizing single ... bottom (defined as time point 0, Figure 4) Time resolved epifluorescence microscopy revealed a continuous reduc-tion in the number of YFP signals originating from single virions, indicating viral

Ngày tải lên: 12/08/2014, 23:22

... is a life-threatening systemic response to infection, leading to death in 34% to 65% of patients [1-5] It is common in patients requiring inten-sive care in France, where more than 10% of admitted ... applying a quality of life coefficient of 0.6, patients in the pre-license phase gained 3.68 ± 4.32 QALYs and those in the post-license phase gained 4.01 ± 4.40 QALYs, result-ing in a difference of ... as in a trial setting or (more likely) to selection of patients with no serious risk for bleeding in real-life clinical practice It is also worth noting that the reduction in 28-day mortality in

Ngày tải lên: 13/08/2014, 08:20

... added] 0 min one m dA dA)/ ool L -1 of Binding Sites mol L Binding sites present in × − ( 1 ssystem fraction of added bound per system’s lim = = (min) ( dA 0 iiting binding rate) min 0 1 = − ... binding rate constant for one mole of binding sites evaluated at A → 0, where Γ fr → 1. It characterizes the binding strength of the ligand for the binding site. Therefore, a high value of k bind ... any value of A to distinguish it from the highest value of κ, when A → 0, giving κ 0 , the system's limiting binding rate. Thus, if κ 0 is increased, then the ligand binding increases and

Ngày tải lên: 13/08/2014, 16:20

... 1ABSTRACT Reading is considered the first skill - a complicated skill requiring the coordination of a number of interrelated sources of information taught in each unit as it is the input of language ... the need to incorporate reading strategy instruction into school curriculum Reading strategy instruction is making its way into regular classrooms The integration of reading strategy instruction ... define the similarities in categories reading strategies They emphasize the role of prior knowledge in reading and introduced skimming, scanning and guessing as effective strategies in reading

Ngày tải lên: 28/03/2015, 09:07

... 2 Pointing out reference in the text 32 91.4 Finding conjunction in the text 23 65.7 Realizing repetition in the text 08 22.9 Relating collocation in the text 28 80 Trang 3327 Realizing synonym ... many definitions of reading, there is no definition covering all the aspects of the process as it happens in reality because of its complexity Trang 115 In my opinion as a teacher, reading is ... role in improving students‘ competence So the teaching of reading is considered to be one of the most effective ways in English language learning According to Farhady (2005), ―reading is one of

Ngày tải lên: 28/03/2015, 09:26

... within 1-2 minutes of microwave heating during the extraction An important point to note when employing the OAD procedure is that although some parameters (duration of extraction and volume of ... power setting for the microwave heating This setting was proportional to the number of samples undergoing extraction during one run Furthermore, according to previous experience with MAE and intuition, ... (Fig 5-1 (c)) In all the cases, small peaks can be ignored when their relative intensities are less than 20% of the corresponding base peak In this study, SIM of quasi-molecular ions in each tested

Ngày tải lên: 16/09/2015, 17:13

... increased to 200°C at a rate of 25°C/min, then maintained at 200°C for min; a second ramp 230°C at rate of 5°C/min, increased to 280°C at a rate of 20°C/min; The final temperature of 280°C was held for ... was directly analyzed by HPLC In order to examine the thermal degradation behavior of carbamates, the following was performed: ml of standard solution containing ppm of propoxur, thiuram, propham, ... widespread use of carbamates in agriculture leads to an increase in the presence of their residues in environmental matrices, especially soil HPLC has been applied routinely in the analysis of carbamates

Ngày tải lên: 16/09/2015, 17:13

... Scanned acquisitions of all tested compounds were obtained using APCI and ESI in both ionization polarities In order to obtain the respective optimum tuning conditions, the standard of each compound ... Therefore, during the following investigation of propoxur degradation in real water samples, methanol was used to dissolve the final target compounds after preconcentration instead of water due ... aimed at monitoring the degradation kinetics of propoxur in water in order to obtain its chemical degradation curves and half lives For this purpose, ultrapure water samples containing 1.0 ng/µl

Ngày tải lên: 16/09/2015, 17:13

... 2011:14 http://www.advancesindifferenceequations.com/content/2011/1/14 Page 14 of 17 RESEARCH Open Access Some new results for BVPs of first- order nonlinear integro -differential equations of volterra type Yepeng Xing * and ... developments involving existence of solutions to BVPs for integro -differential equations and impulsive integro -differential equations we can refer to [3-17]. So far the m ain method appeared in the ... fol- lows from Corollary 2.2. In what fo llows we focus on the first- order integro -differential equations of mixed type in the form of (1.2). The results presented in the following three statements are similar...

Ngày tải lên: 21/06/2014, 02:20