In the beginning, the observability problem is reduced to the uniqueness problem of solutions of some nonlinear integral equations for general nonlinear systems with linear observations. Then, for some restricted systems, a simple sufficient condition is derived. The relation between global and local ...
EQUATIONS WITH INFINITELY MANY SOLUTIONS Not all equations have exactly one solution like the ones we have encountered so far. Some equations have an infinite number of solutions. We will study them now. Problem 4 Determine whether the given number is a solution of the given equation. EQUATIONS...
Concerning the existence of infinitely many high energy solutions for (1.1), to the best of our knowledge, there seems to be only one paper [18]dealing with this situation, in which the authors used Symmetric Mountain Pass Theorem under assumptions (V), (F1), (F3), (F4) and...
We consider two cases of reducible Volterra and Levin–Nohel retarded equations with infinite delay. In these cases reducibility arises from the use of a special type of memory functions with an exponential behavior. We address global questions like the existence of Liapunov functions and, consequentl...
Solve a system of equations to return the solutions in a structure array. symsuveqns = [2*u + v == 0, u - v == 1]; S = solve(eqns,[u v]) S =struct with fields:u: 1/3 v: -2/3 Access the solutions by addressing the elements of the structure. ...
2. If the system of linear equations above has infinite-ly many solutions, and k is a constant, what is the value ofk?A) -8B) -4C) -2D) -1$$\left\{ \begin{matrix} - 1 3 = a y + 2 4 x \\ 9 + 6 b x = 5 y \end{matrix} \right.$$ 相关知识点: 试题来源: 解...
Chang, K.C.: Infinite Dimensional Morse Theory and Multiple Solution Problems. Birkhäuser, Boston (1993) Book Google Scholar Jeanjean, L.: On the existence of bounded Palais-Smale sequences and application to a Landesman-Lazer-type problem set on [Math Processing Error]RN. Proc. R. Soc....
8.1: Fourier Series A Fourier series separates a periodic functionF(x)into a combination (infinite) of all basis functions cos(nx)and sin(nx). 13:55Video length is 13:55 8.1b: Examples of Fourier Series Even functions use only cosines (F(–x) = F(x)) and odd functions use only sin...
We study the existence of discrete almost automorphic solutions and asymptotic behavior for non-linear Volterra difference equations of convolution type with infinite delay where the nonlinear perturbation is considered not necessarily globally Lipschitz. The results are a consequence of application of differ...
[32] first discussed the existence of solutions for initial value problems of α (0<α<1) order fractional equations with infinite delay and Riemman–Liouville fractional derivative. They also discussed operator type neutral equations in the same way. Deng and Qu [33] discussed the same problem...