exploring exact first order differential equations and euler s method
Báo cáo toán học: " Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments" pptx
Ngày tải lên :
20/06/2014, 20:20
... main results in this article, which are two existence results for problem (1) between given lower and upper solutions The first result ensures the existence of maximal and minimal solutions, and ... and the second one establishes the existence of the greatest and the least solutions in a particular case The concepts of lower and upper solutions introduced in Section are new, and we show with ... interests The authors declare that they have no competing interests Authors’ contributions Both authors’ contributions to this paper are similar and it is impossible to say which part corresponds...
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báo cáo hóa học:" Research Article Positive Solutions to Singular and Delay Higher-Order Differential Equations on Time Scales" pptx
Ngày tải lên :
21/06/2014, 20:20
... u2 sup ≤K Hn t, s w s f s, u2 s − c s a t∈ a,b b Gn ·, s w s f s, u2 s − c s a Gn ·, s w s f s, ψ s − c s K Gn ·, s w s f s, u2 s − c s K Y1 K Y3 Gn ·, s w s f s, u2 s − c s Y2 \Y3 ≤ r − ... K G1 ·, s ds L 12sds 4 − s ds s − s ds 24.17, G1 ·, s h2 s ds s 1 2s ds 20/13 s ds 4 s 4 s 20/13 4 s ds 4 s s 4.695, μ 3.42 h1 p L h1 q L , K K 7/2 R ds μK 0.112, −1 G2 ·, s ds 0.282, 3/2 κ K ... Gn ·, s w s f s, u s − c s ≤ K sup u∈Pζ,η b Y1 Gn ·, s w s f s, u s − c s sup K sup K u∈Pζ,η Y2 \Ym0 Gn ·, s w s f s, u s − c s b ≤1 3.12 Ym0 u∈Pζ,η max{D, Q}K Gn ·, s w s s < ∞ a Consequently,...
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Báo cáo hoa học: " Research Article On Connection between Second-Order Delay Differential Equations and Integrodifferential Equations with Delay" pdf
Ngày tải lên :
21/06/2014, 20:20
... s , ξ g ξ dξ ds t0 t0 ˙ X t, t0 g t t t K t, s X h s , t0 ds x t0 t0 t 2.19 ˙ X t, s g s ds t0 s K t, s t0 X h s , ξ g ξ dξds t0 t g t t0 ˙ X t, s g s ds t s K t, s t0 X h s , ξ g ξ dξds t0 Since ... K t, s x h s ds f t , t ≥ t0 1.11 t0 Since 1.11 is a result of transforming 1.1 , qualitative properties of 1.11 such as the existence and uniqueness of solutions, oscillation and nonoscillation, ... problems for delay difference equations were studied in 5, as well This paper aims to investigate the problems of the existence, uniqueness and solution representation of 1.11 Problems related to oscillation/nonoscillation,...
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STABILITY OF PERIODIC SOLUTIONS OF FIRST-ORDER DIFFERENCE EQUATIONS LYING BETWEEN LOWER AND UPPER pptx
Ngày tải lên :
23/06/2014, 00:20
... set of solutions of (PN ) is closed and well ordered, we conclude that uS is a solution of problem (PN ) If uS is isolated from below, it is clear that uS ∈ C, and so it is asymptotically stable ... constant solutions are stables from above and solution is asymptotically stable from below Given that is not isolated in the set of constant solutions of this problem, it is not asymptotically stable ... lower solutions (yn < T yn in JN ) and a strictly decreasing sequence of strict upper solutions (Tzn < zn in JN ); that is, it is a strongly order- stable fixed point of T (see [5]) Thus we may assert...
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Partial Differential Equations and Fluid Mechanics doc
Ngày tải lên :
14/03/2014, 10:20
... and its physical applications (2nd edition), J MADORE 258 Sets and proofs, S. B COOPER & J.K TRUSS (eds) 259 Models and computability, S. B COOPER & J TRUSS (eds) 260 Groups St Andrews 1997 in Bath ... (2008) considered unsteady flows of incompressible fluids whose viscosity depends on the temperature, shear-rate and pressure Such a fluid model is markedly different from the classical incompressible ... closure of ideals, rings, and modules, I SWANSON & C HUNEKE Methods in Banach space theory, J M F CASTILLO & W B JOHNSON (eds) Surveys in geometry and number theory, N YOUNG (ed) Groups St Andrews...
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Báo cáo "On the asymptotic behavior of delay differential equations and its relationship with C0 - semigoup " potx
Ngày tải lên :
22/03/2014, 11:20
... of differential equations, Scientis publishing house Anma-Ata, 1974 (Russian) [13] N.T Hoan, Asymptotic equivalence of systems of differential equations, IZV.Acad Nauk ASSR (1975) 35 (Russian) ... ϕ(t); −h exists solely It can be written in the form: t x(t) = T (t)ϕ(0) + µ T (t − s) f (s, x (s + θ))ds, t ≥ 0 Thus t x(t) T (t) ϕ(0) + µ T (t − s) f (s, x (s + θ)) ds, By using assumptions (5), (6), ... differential equations, Results of mathematic science 40 (1985) 245 (Russian) [4] M Svec, Itegral and asymptotic equivelence of two systems of diffrential equations, Equadiff Proceedings of the fifth...
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ordinary differential equations and dynamical systems - g. teschl
Ngày tải lên :
31/03/2014, 15:56
... Newton s equations §1.2 Classification of differential equations §1.3 First order autonomous equations §1.4 Finding explicit solutions 11 §1.5 Qualitative analysis of first order equations 16 Chapter ... last equation is linear Is the corresponding autonomous system also linear? 1.3 First order autonomous equations Let us look at the simplest (nontrivial) case of a first order autonomous equation ... estimate t |K(x)(t) − K(y)(t)| ≤ |f (s, x (s) ) − f (s, y (s) )|ds (2.16) t0 Clearly, since f is continuous, we know that |f (s, x (s) ) − f (s, y (s) )| is small if |x (s) − y (s) | is However, this is...
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partial differential equations and the finite element method - pave1 solin
Ngày tải lên :
31/03/2014, 15:57
... problems 1.5.1 Conservation laws 1S Characteristics Exact solution to linear first- order systems 1S 1S Riemann problem Nonlinear flux and shock formation 1S 1S Exercises 45 Continuous Elementsfor ... applies to second -order PDEs Later in this text we will discuss two important cases outside of this classification: hyperbolic first- order systems in Section 1.5 and elliptic fourth -order problems ... diferential equations (PDEs) The solutions to these equations are functions, as opposed to standard algebraic equations whose solutions are numbers For most PDEs we are not able to find their exact solutions,...
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differential equations and control theory
Ngày tải lên :
01/06/2014, 01:11
... What Causes Dysbiosis? 62 Patterns of Dysbiosis 65 Putrefaction Dysbiosis • Fermentation Dysbiosis • Deficiency Dysbiosis • Sensitization Dysbiosis Candida: The Masquerader 68 Leaky Gut Syndrome: ... bowels, lymph system, and skin We absorb and excrete many substances through the skin, which is the largest organ in the body Water is essential to the digestive process It softens foods and dissolves ... and Seafood • Seaweeds • Meat and Poultry • Oils, Nuts, and Seeds Shopping List 164 Fruits and Vegetables • Legumes (Beans and Peas) • Whole Grains • Whole Grain Breads • Breads and Pastas •...
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guillermo sapiro - geometric partial differential equations and image analysis
Ngày tải lên :
05/06/2014, 11:58
... [Cs , Csss ] = (1.12) Hence the two vectors Cs and Csss are linearly dependent, and so there exists µ such that Csss + µCs = (1.13) Equation (1.13) implies (just compare the corresponding areas ... has a unique level of formal analysis, giving the possibility of providing not only successful algorithms but also useful theoretical results such as existence and uniqueness of solutions Ideas ... this discrete representation Many works have addressed this issue One possible approach is to obtain a continuous curve or surface that fits the set of discrete points, that is, to perform surface...
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Báo cáo toán học: " Lyapunov-type inequalities for a class of even-order differential equations" doc
Ngày tải lên :
20/06/2014, 21:20
... Computer Science, Jishou University, Jishou 416000, Hunan, P.R China ∗ Corresponding author: zhqm20082008@sina.com Email address: XH: hexiaofei525@sina.com Abstract We establish several sharper ... has been generalized extensively to the higher -order linear equations and the linear Hamiltonian systems A thorough literature review of continuous and discrete Lyapunov-type inequalities and ... inequalities for a class of quasilinear systems Math Comput Model 53, 1162–1166 (2011) [13] Zhang, Q, Tang, XH: Lyapunov inequalities and stability for discrete linear Hamiltonian system Appl...
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Báo cáo hóa học: " Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument" ppt
Ngày tải lên :
21/06/2014, 03:20
... − s) α−1 a (s) f (u(θ (s) ))ds (α) (1 − s) α−1 a (s) f (u(θ (s) ))ds (α) (η − s) α−1 a (s) f (u(θ (s) ))ds + (α) − βη η (η − s) α−1 a (s) f (u(θ (s) ))ds (α) (3:4) (1 − s) α−1 a (s) f (u(θ (s) ))ds (α) (1 − s) α−1 ... η(1 − s) α−1 a (s) f (u(θ (s) ))ds (α) η(η − s) α−1 a (s) f (u(θ (s) ))ds (α) (η − s) α−1 η a (s) f (u(θ (s) ))ds + (α) − βη (η − s) α−1 η a (s) f (u(θ (s) ))ds + (α) − βη (1 − s) α−1 a (s) f (u(θ (s) ))ds (α) η ... βη) (α) (1 − s) α−1 β y (s) ds − (α) − βη η η (η − s) α−1 y (s) ds (α) α−1 (η − s) (α) y (s) ds ⎤ (η − s) α−1 y (s) ds⎦ (α) η η(1 − s) α−1 − (η − s) α−1 y (s) ds η (η − s) α−1 − (η − s) α−1 y (s) ds ≥ 0 Combine...
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báo cáo hóa học:" Research Article Nonoscillation of First-Order Dynamic Equations with Several Delays" pdf
Ngày tải lên :
21/06/2014, 11:20
... Time Scales An Introduction with Applications, Birkh¨ user Boston, Boston, Mass, USA, 2001 a B Karpuz, “Existence and uniqueness of solutions to systems of delay dynamic equations on time scales,” ... it was demonstrated that equations with positive coefficients has slowly oscillating solutions only if it is oscillatory The notion of slowly oscillating solutions can be easily extended to equations ... 4, oscillation properties of equations with different coefficients, delays and initial functions were compared, as well as two solutions of equations with the same delays and initial conditions Can...
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báo cáo hóa học:" Research Article Limit Properties of Solutions of Singular Second-Order Differential Equations" doc
Ngày tải lên :
21/06/2014, 20:20
... Problems discontinuous inputs Typically, such problems are modelled by differential equations where f has jump discontinuities at a discrete set of points in 0, T , compare This study serves as a ... existence and uniqueness of solutions, their smoothness properties, and the structure of boundary conditions necessary for u to have at least continuous first derivative on 0, T Moreover, using ... 20 A Lasota, “Sur les probl` mes lin´ aires aux limites pour un syst` me d’´ quations diff´ rentielles e e e e ordinaires,” Bulletin de l’Acad´ mie Polonaise des Sciences S rie des Sciences Math´...
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báo cáo hóa học:" Research Article Homoclinic Solutions of Singular Nonautonomous Second-Order Differential Equations" doc
Ngày tải lên :
21/06/2014, 20:20
... c0 p s 3.23 Consequently, integrating 2.13 over 0, t and using 3.19 – 3.23 , we get for t ≥ b t p s u s ds p s F B −F u t ≥ b p s u s ds p s t u2 t ≥ p s u s ds p s b p s p s u s − u02 s ds b ... lim p t u t t→∞ ξ ∈ 0, , 1.15 is investigated under the assumptions that f is continuous, it has three distinct zeros and satisfies the sign conditions similar to those in 11, 3.4 In 13 , an approach ... is that under 1.3 – 1.8 , 1.9 the set of solutions of 1.1 , 1.10 for B ∈ L0 , consists of escape solutions and of oscillatory solutions having values in L0 , L and of at least one homoclinic solution...
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Báo cáo hóa học: "SECOND-ORDER DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS" pptx
Ngày tải lên :
22/06/2014, 22:20
... 2 Second -order differential equations The plan of this paper is as follows In Section 3, we discuss problem (1.1) for the case when r ≤ Theorem 3.1 says about extremal quasisolutions of problem ... numbers and functions αi ∈ C(J,J) for i = 1, , p Definitions of coupled lower and upper solutions, coupled quasisolutions, and minimal T Jankowski and W Szatanik and maximal coupled quasisolutions ... Weng, and X Li, Periodic boundary value problems for second order differential equations with delay and monotone iterative methods, Dynamics of Continuous, Discrete & Impulsive Systems Series A...
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