SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS BY DUFFY PDF

This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formattedPDF and full text (HTML) versions will be made available soon.Existence of solutions for perturbed abstract measure functional differentialequationsAdvances in Difference Equations<[r]

´ekata 33.Inparticular equations of type 1.1 are attracting increasing interest cf. 5, 11, 24, 34.The existence of weighted S-asymptotically ω-periodic mild solutions for integrodif-ferential equation of fractional order of type 1.1 remains an un[r]

(θ) ≤ ϕ(θ) if θ ∈ [−η, 0].(6)Then by (5) it follows that for every solution x of the problem (1) satisfies x ≤ x∗. Thiscompletes the proof of Theorem 3.1.7Remark 3.1. Note that Condition (i) in Theorem 3.1 looks difficult to verify but it is usefulfor applying the Theorem 2.1. howe[r]

 −αfxt − 1, 1.1where f ∈ CR, R is odd and α is parameter. Since Jone’s work in 4, there has been agreat deal of research on problems of existence, multiplicity, stability, bifurcation, uniqueness,density of periodic solutions to 1.1  by applying variou[r]

is a linear, bounded operator.Supposefutfzut. 2.35Consider the boundary value problem 2.26, 2.27. If the function u is an ω-periodic solutionof 1.3, then its restriction to 0,ω is a solution of problem 2.26, 2.27, and vice versa, if uis a solution of problem 2[r]

spectral geometry is to “ recover ” the maximum amount of information about , purely from the knowledge of the spectrum (λ n ) .
A strikingly simple question is the following. Let 1 and 2 be two bounded domains in R 2 ; suppose that the eigenvalues of the operator − (with[r]

sunjt@sh163.net;∗Corresponding authorAbstractIn this article, we investigate existence of solutions for perturbed abstract measure functional differential equations.Based on the Arzel`a–Ascoli theorem and the fixed point theorem, we give sufficient conditions for existence ofsolutio[r]

uη= auzzby the transformation (15.2.4.16).15.2.5. Differential SubstitutionsIn mathematical physics, apart from the B¨acklund transformations, one sometimes resorts tothe so-called differential substitutions. For second-order differential equations, differentialsubstituti[r]

11. BB Alagoz, Obtaining depth maps from color images by region basedstereo matching algorithms. OncuBilim Algor Syst Labs. 08(4), 1–12 (2008)12. A Bhatti, S Nahavandi, in Stereo Vision, vol. Chap 6. (I-Tech, Vienna, 2008),pp. 27–4813. Gulyaev YuV, VF Kravchenko, VI Pustovoit, A new class [r]

). F is a homeomorphism and a monotone map. Let v = (sint,cost). Thenv+ Av = 0. Let f be any continuously differentiable function on R such that f (t) = t1/3for |t| &gt; 1andleth(t) = f(t)v(t). Since h(t) → 0as|t|→∞, h ∈ SO(R2). The equationu+ Au = h has no bounded solution, because u(t) = f ([r]

where the coefficients A1, A2, , Anare determined by solving the associated homoge-neous system of algebraic equations obtained by substituting expressions (12.6.2.9) intothe differential equations of the system in question and dividing by xσ. S[r]

g(ϕ(t)) dtθ(x, t), w =expg(ϕ(t)) dtθ(x, t),where the function ϕ = ϕ(t) is described by the separable first-order nonlinear ordinary differential equationϕt=[f(ϕ)–g(ϕ)]ϕ,(15.14.5.12)and the function θ = θ(x, t) satisfies the linear heat equation (15.14.5.7).The general solution of[r]

ξ, η, w,∂w∂ξ,∂w∂η.(14.1.1.7)As η, one can take η = x or η = y.It is apparent that the transformed equation (14.1.1.7) has only one highest-derivativeterm, just as the heat equation (14.1.1.1).Remark. In the degenerate case where the function F1does not depend on the derivative ∂ξw, equa-tion (14.1[r]

2and Yuan Wenjun∗31Department of Mathematics and Physics, Shanghai DianjiUniversity, Shanghai 200240, People’s Republic of China2School of Science, Beijing University of Posts andTelecommunications, Beijing 100876, People’s Republic of China3School of Mathem[r]

2and Yuan Wenjun∗31Department of Mathematics and Physics, Shanghai DianjiUniversity, Shanghai 200240, People’s Republic of China2School of Science, Beijing University of Posts andTelecommunications, Beijing 100876, People’s Republic of China3School of Mathem[r]

VỀ TÍNH DUY NHẤT NGHIỆM NHỚT CỦA PHƯƠNG TRÌNH ĐẠO HÀM RIÊNG CẤP HAI LOẠI PARABOLIC ON THE UNIQUENESS OF VISCOSITY SOLUTIONS TO SECOND ORDER PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS NGUYỄN CHÁNH ĐỊNH Trường Đại học Sư phạm, Đại học Đà Nẵng TÓM TẮT Lý thuyết nghi[r]

,(1.5)where the same result mentioned above holds.Stimulated by the work of Fattorini [1] and some models in physics, such as viscoelas-ticity, we studied in [4] the convergence of solutions of the problem (1.1) to solutionsof the Cauchy problem (1.2). We proved in[r]

Hindawi Publishing CorporationAdvances in Difference EquationsVolume 2011, Article ID 915689, 17 pagesdoi:10.1155/2011/915689Research ArticleExistence of Solutions to Anti-Periodic BoundaryValue Problem for Nonlinear Fractional DifferentialEquations with ImpulsesAnping Chen1, 2and Yi Ch[r]

cranberry juice in the container at time t. Solve, using the initial condition.(b) Write a differential equation whose solution is A(t), the number of gallons of applejuice in the container at time t. Solve the equation.13. Suppose we change the previous problem so that the mixt[r]

The suggested method provides an easy way to solve numeri-
cally the class of fractional partial differential Eqs. (1)–(3) . Using
shifted Jacobi polynomial basis, the considered problem is reduced to a system of linear algebraic equations which has been solved[r]