In this note we study the boundary conditions for the new massive gravity theory in asymptotically AdS3 spacetime. We find that the Brown-Henneaux boundary conditions are consistent with the new massive gravity for all any value of the mass parameter. At the critical point where the central charge vanishes, the conserved charges vanish, too. This provides further evidence that the theory may be...

In this article, we study five non-homogeneous multi-point boundary-value problems (BVPs) of second order differential equations with the onedimensional p-Laplacian. These problems have a common equation (in different function domains) and different boundary conditions. We find conditions that guarantee the existence of at least three positive solutions. The results obtained generalize several ...

In this work, we establish sufficient conditions for the existence of solutions for a three point boundary value problem generated by a third order differential equation. We give sufficient conditions that allow us to obtain the existence of a nontrivial solution. Then by using the Leray Schauder nonlinear alternative we prove the existence of at least one solution of the posed problem. As an a...

In this paper, the authors consider a nonlinear fractional boundary value problem defined on a star graph. By using a transformation, an equivalent system of fractional boundary value problems with mixed boundary conditions is obtained. Then the existence and uniqueness of solutions are investigated by fixed point theory. MSC 2010 : Primary 34B15; Secondary 34B45

Abstract This research inscription gets to grips with two novel varieties of boundary value problems. One them is a hybrid Langevin fractional differential equation, whilst the other coupled system equation encapsuling collective derivative known as ψ -Caputo operator. Such operators are generated by iterating local integral function respect another increasing positive Ψ. The existence solution...