Exact solutions of some nonlinear differential equations and integrable discretization

The usual progression has been to first study the so-called three point problem, when α [ u ] = αu ( η ) , with η ∈ ( 0, 1 ) and α ≥ 0 is suitably bounded above, then to

theorems, the author showed the existence of positive solutions for a class of singular four-point coupled boundary value problem of nonlinear semipositone Hadamard

To study the existence of a global attractor, we have to find a closed metric space and prove that there exists a global attractor in the closed metric space. Since the total mass

Kusano; Asymptotic Behavior of Positive Solutions of a Class of Systems of Second Order Nonlinear Differential Equations, Electronic Journal of Qualitative Theory of

Results on the oscillatory and asymptotic behavior of solutions of fractional and integro- differential equations are relatively scarce in the literature; some results can be found,

Trujillo; Fractional integrals and derivatives and differential equations of fractional order in weighted spaces of continuous functions,

Evtukhov, Asymptotic representations of solutions of a certain class of second-order nonlinear differential equations..

In this paper, by using the integral bifurcation method 34–36, we mainly investigate some new exact solutions such as explicit solutions of Jacobian elliptic function type