We prove five new theorems, which include sufficient conditions related to these fundamental qualitative properties of solutions to the IDEs considered. The main tools used in the proof are two new and suitable
Explain with example. When equations have infinitely many solutions, How would we know this? Linear equation in two variables:- An equation is called the linear equation in two variables if the equation is in the form of ax+by+c = 0 where a,b,c are real numbers and...
Each of these equations on their own could have infinite possible solutions. However when we have at least as many equations as variables we may be able to solve them using methods for solving simultaneous equations. Representing simultaneous equations graphically We can consider each equation as...
Previous results on infinite energy solutions to nonlinear Schrödinger equations are due to Braz e Silva et al. [9] with initial data in weak Lp-spaces. The results in [9] do not cover the energy critical equations though; see also [10]. Moreover, weak Lp-spaces are not invariant und...
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...
In general, n equations in m unknowns have infinitely many solutions when m < n and no solutions when m > n. The case m = n is the only case where there can exist a unique solution. Large systems of equations are generally handled with matrices, especially as implemented on computers....
... that is because they are really the same equation ... ... so there are an Infinite Number of Solutions They are the same line: And so now we have seen an example of each of the three possible cases:No solution One solution Infinitely many solutionsSolving...
infinite dimension. They also generalize the work of Khasminskii on stability and stationary distributions of solutions. New results, applications, and examples of stochastic partial differential equations are included. This clear and detailed presentation gives the basics of the infinite dimensional ...
If it is consistent it can be further classified as independent if it has one solution or dependent if it has infinite solutions. What is meant by a system of equations? A system of equations is a set of two or more equations. The equations can be any type of equations....
Solve a system of equations to return the solutions in a structure array. syms u v eqns = [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. S.u ans = ...