The next meeting of the Joint Seminar of Analysis, Geometry and Topology Department will be held on February 16, 2016 at 14:00 in Room 478 of IMI.

A talk on:

Existence and multiplicity of solutions to boundary value problems for fourth-order and fractional order differential equations with impulses

will be delivered by Stepan Tersian.

Everybody is invited.

Abstract. In the first part of the talk we consider the existence and multiplicity of solutions to impulsive boundary value problem for fourth-order differential equations in phase transitions models. The variational method is applied, based on minimization, mountain-pass and Clark’s theorems.

In the second part, the existence and multiplicity of solutions to impulsive boundary value problem for a fractional order differential equation is discussed. Fractional derivatives are involved in both Riemann-Liouville and Caputo sense. The variational method is applied based on minimization theorem and three-critical points theorem due to Bonanno and Candito.

The results are partly published in:

[1] Cabada A., Tersian S., Existence and multiplicity of solutions to boundary value problems for fourth-order impulsive differential equations, Boundary Value Problems 2014, 2014: 105, http://www.boundaryvalueproblems.com/content/2014/1/105.

[2] Bonanno, G., Rodriguez-Lopez, R., Tersian, S., Existence of solutions to boundary value problem for impulsive fractional differential equations, Fractional Calculus and Applied Analysis 17 (3), 2014, pp. 717-744, Springer – De Gruyter Open.