Sentence examples for article we establish the from inspiring English sources

In this article, we establish the exact solutions for the combined KdV-mKdV and Gardner-KP equations.

In this article, we establish the new result on homoclinic orbits for a class of damped vibration systems.

In this article, we establish the nonemptiness and boundedness of the solution set for the GVEP under a relatively weaker condition.

For A ∈ C B ( X ) and x ∈ X, we have d ( x, A ) = 0 ⇔ x ∈ Ā = A. In this article, we establish the analogous of Theorem 1.2 on a complete b-metric space.

In this article, we establish the extreme solutions (maximal and minimal solutions) for fractional differential equation with maxima in sense of Riemann-Liouville fractional operators, by using the Tarski's fixed point theorem.

In this article we establish the following Adams type inequality in the hyperbolic space HN:supu∈C∞c HN),∫HN Pku udvg≤1∫HN eβu2−1)dvg<∞ iff β≤β0(N,k) where 2k= N, Pk is the critical GJMS operator in HN and β0(N,k) is as defined in (1.3).

In this article, we established the existence and uniqueness of the solution for a generalized class of fractional order differential equations involving the Riemann-Liouville differential operator on unbounded domain [0, +∞). The contraction principle has been used to obtain the results in this article.

In the article, we establish several inequalities for the Ramanujan constant function (R x)=-2gamma-psi(x -psi 1-x)) on the interval ((0, 1/2]), where (psi(x -psi 1-x classical psi function and (gamma=0.577215cdots) is the Euler-Mascheroni constant.

In the article, we establish several Ostrowski type inequalities involving the conformable fractional integrals.

In this article, we establish sufficient conditions for the existence, uniqueness and stability of solutions for nonlinear fractional differential equations with delays and integral boundary conditions.

In this article, we establish sufficient conditions for the existence and uniqueness of positive periodic solutions for a class of first-order functional differential equations.