In this paper, the problem of the existence of a periodic solution is studied for the second order differential equation with a singularity of repulsive type [Formula: see text] where [Formula: see text] is singular at [Formula: see text], φ and h are T-periodic functions. By using the continuation theorem of Manásevich and Mawhin, a new result on the existence of positive periodic solution is ...

This paper is devoted to boundary-value problems for Riemann–Liouville-type fractional differential equations of variable order involving finite delays. The existence solutions first studied using a Darbo’s fixed-point theorem and the Kuratowski measure noncompactness. Secondly, Ulam–Hyers stability criteria are examined. All results in this study established with help generalized intervals pie...

‎using nehari manifold methods and mountain pass theorem‎, ‎the existence of nontrivial and radially symmetric solutions for a class of $p$-kirchhoff-type system are established.

The aim of this paper is to study the existence of asymptotically stable solutions for a mixed functional integral equation in N variables. This is done by using a fixed point theorem of Krasnosel’skii type in the Fréchet space and the new integral inequalities with explicit estimate. In order to illustrate the results obtained here, an example is given. Mathematics subject classification (2010...

In this article, we use two concepts, measure of non-compactness and Meir-Keeler condensing operators. The measure of non-compactness has been applied for existence of solution nonlinear integral equations, ordinary differential equations and system of differential equations in the case of finite and infinite dimensions by some authors. Also Meir-Keeler condensing operators are shown in some pa...

In this paper, we study a nonlinear fractional boundary value problem on particular metric graph, namely, circular ring with an attached edge. First, prove existence and uniqueness of solutions using the Banach contraction principle Krasnoselskii's fixed point theorem. Further, investigate different kinds Ulam-type stability for proposed problem. Finally, example is...

This paper we investigate the existence and uniqueness of solutions to fuzzydierential equations driven by Liu's process. For this, it is necessary to provideand prove a new existence and uniqueness theorem for fuzzy dierential equationsunder weak Lipschitz condition. Then the results allows us to considerand analyze solutions to a wide range of nonlinear fuzzy dierential equationsdriven by Liu...

This paper studies some existence results for generalized epsilon-vector equilibrium problems and generalized epsilon-vector variational inequalities. The existence results for solutions are derived by using the celebrated KKM theorem. The results achieved in this paper generalize and improve the works of many authors in references.