A Class of Fourth-Order Symmetrical Kirchhoff Type Systems

On a class of Kirchhoff type systems with nonlinear boundary condition

A class of Kirchhoff type systems with nonlinear boundary conditions considered in this paper. By using the method of Nehari manifold, it is proved that the system possesses two nontrivial nonnegative solutions if the parameters are small enough.

Multiplicity Results for Perturbed Fourth-order Kirchhoff-type Problems

Positive Solutions for a Nonlocal Fourth Order Equation of Kirchhoff Type

Existence and multiplicity of positive solutions for the fourth order equation u′′′′ − M( ∫ 1 0 |u ′|2 dx)u′′ = q(x)f(x, u, u′), which models simply supported extensible beams, are considered using fixed point theorems in cones of ordered Banach spaces.

on a class of kirchhoff type systems with nonlinear boundary condition

a class of kirchhoff type systems with nonlinear boundary conditions considered in this paper. by using the method of nehari manifold, it is proved that the system possesses two nontrivial nonnegative solutions if the parameters are small enough.

a class of fourth order differential operators with transmission conditions

we investigate a class of fourth-order differential operators with eigenparameter dependent boundary conditions and transmission conditions. a self-adjoint linear operator a is defined in a suitable hilbert space h such that the eigenvalues of such a problem coincide with those of a . we discuss asymptotic behavior of its eigenvalues and completeness of its eigenfunctions. finally, we obtain th...