( 5.98147 ) 38.61841 v = This last example gave us an example of a situation where the two differential equations needed for the problem ended up being identical and so we didn’t need the second one after all. Be careful however to not always expect this. We could very ea[r]
assignment, depth control, and depth image based ren- dering. One drawback of this algorithm is that it requires extremely computationally intensive operations. There are several algorithms to estimate the DM such as the optical flow differential methods designed by Lucas & Kan[r]
The mathematical model for rectifier is set up in this paper to replace the discontinuous differential equation, which is mentioned above. The properties of the rectifier circuit using semiconductor diodes presented by the differential inclusions are considered by analyzing the mathematical model re[r]
w(x, t) = ψ 1 (t) + ψ 2 (t)x + ψ 3 (t)x 2 + ψ 4 (t)x 3 . 15.5.5-3. How to find linear subspaces invariant under a given nonlinear operator. The most difficult part in using the Titov–Galaktionov method for the construction of exact solutions to specific equations is to find li[r]
In this paper, the Mawhin’s continuation theorem in the theory of coincidence degree has been used to investigate the existence of solutions for a class of nonlinear second-order differential systems of equations in ℝ
25 P. H. Rabinowitz, Minimax Methods in Critical Point Theory with Applications to Di ff erential Equations, vol. 65 of CBMS Regional Conference Series in Mathematics, American Mathematical Society, Providence, RI, USA, 1986. 26 G. Fei, “On periodic solutions of sup[r]
䉴 is intended only as a guide. Many of the marked problems can be solved, at least in part, without computational help, and a computer can be used effectively on many of the unmarked problems. From a student’s point of view, the problems that are assigned as homework and that[r]
12.5.1-1. Equations solved for the highest derivative. General solution. An n th-order differential equation solved for the highest derivative has the form y ( n ) x = f ( x , y , y x , . . . , y x ( n – 1 ) ). (12.5.1.1) The general solution of this equation depends on n a[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 NGUYỄ[r]
[4] F. L. Huang, “Existence of almost periodic solutions for dissipative di ff erential equations,” An- nals of Di ff erential Equations, vol. 6, no. 3, pp. 271–279, 1990. [5] H. Ishii, “On the existence of almost periodic complete trajectories for contrac[r]
y(t) uniquely from its n th derivative, we need n additional pieces of information (constraints) about y(t) . These constraints are also called auxiliary conditions. When these conditions are given at t = 0 , they are called initial conditions. We discuss here two systematic procedures[r]
By employing upper and lower solutions method together with maximal principle, we establish a necessary and su ffi cient condition for the existence of pseudo- C 3 0 , 1 as well as C 2 0 , 1 positive solutions for fourth-order singular p -Laplacian di ff erential equations[r]
WITH THE ABOVE APPROACH, IT CAN BE SHOWN THAT THE NONLINEAR WAVE EQUATION 15.3.3.11 ALSO TRANG 2 676 NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS TABLE 15.2 Invariant solutions that may be o[r]
Functional differential equations with state-dependent delay appear frequently in applications as models of equations and for this reason the study of this type of equations has received[r]
20. Li, YK, Shu, J: Multiple positive solutions for first-order impulsive integral boundary value problems on time scales. Bound Value Probl. 2011 , 12 (2011). doi:10.1186/1687-2770-2011-12 21. Li, YK, Shu, J: Solvability of boundary value problems with Riemann-Stieltjes -integral co[r]
In this paper, we study the existence and uniqueness of fuzzy solutions for general hyperbolic partial differential equations with local conditions making use of the Banach fixed point theorem. Some examples are presented to illustrate our results.
h; / : ½ 0 ; 1 ! R ; g : ½ 0 ; 1 ½ 0 ; 1 ! R are given functions. The modeling of some real world problems by using differential equations is a warm area of research in last many years. Here we, remark that partial differential equations have important[r]
Every solution curve is either asymptotic to a constant solution or increases or decreases without bound. Equilibria and Stability Equilibrium solutions to differential equations can be classified as stable, unstable, or semistable. In Example 31.5, y = 1 and y = 3 are the[r]
TRANG 6 554 FIRST-ORDER PARTIAL DIFFERENTIAL EQUATIONS TABLE 13.1 General solutions to some special types of linear and quasilinear first-order partial differential equations;Ψ_u_ is an [r]