Using this result, we provide the existence of solutions of the system with infinite points and Riemann–Stieltjes integral boundary conditions, respectively, instead of doing it directly. Finally, we give three examples to illustrate the feasibility of main results.Ying ChenLishan LiuFang WangJOURNAL OF MECHANICS
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...
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....
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...
Due to the definition of g, for any u∈H1(R3)∖{0}, there exists v(x)=T−1∕2u(Tx)∈H1(R3) such that ‖v‖H1=1, that is u(x)=T1∕2v(T−1x) with ‖v‖H1=1. Note that un≠0 for large n∈N, then there exists vn(x)=Tn−1∕2un(Tnx)∈H1(R3) such that ...
equation using a fixed point technique. Our main goal is to obtain the best approximation using optimal controllers. After studying the stability, we present the reproducing kernel Hilbert space numerical method to obtain approximate solutions to the equation. We finally conclude with numerical results...
The existence of multiple radial standing wave solutions to (1.3) with prescribedL^2-norm has been faced by Lions in [31] and for the nonlinear Choquard Eq. (1.5) it has been obtained by Ye [57] (see also [11] for the planar logarithmic Choquard equation). We remark that all these ...
concept of lo cal solutions E 引 . Definition 1 Le t x( f) ,t ∈( 一∞,7- 。] ,be a conti nuous R" -val ued 一adapted process ( = 70 for f≤0 ).It is called a local str ong soluti on of Eq.(2) with initi al data ...
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...
Three dimensional moving solitons, including relativistic Fitzgerald contraction of lengths, are explicitly constructed as stationary solutions of infinite component wave equations.Access through your organization Check access to the full text by signing in through your organization. Access through your organ...