In this paper, we investigate some general integral inequalities in two independent variables which are used to solve some problems involving the theory of partial diferential and integral equations with time delays.
Some new generalized retarded nonlinear integral inequalities are discussed and upper bound estimations of unknown functions are given by adapting novel analysis techniques. These estimations can be applied to study differential-integral equations and some practical problems in engineering.
By the standard integral averaging technique, we obtain some oscillation criteria for a second order functional neutral differential equation. Our results are more general than those in B. Baculíková, J. Dzurina [2]. An example is provided to illustrate the relevance of our theorems.
In this paper, a modified nonlinear dynamic inequality on time scales is used to study the boundedness of a class of nonlinear third-order dynamic equations on time scales. These theorems contain as special cases results for dynamic differential equations, difference equations and q-difference equations.
This paper studies the symmetry of a class of fractional Sturm-Liouville differential equations with right and left fractional derivatives. We give the Hermitian boundary condition description of this problem. Furthermore, the density of minimal operator is given. Then the symmetry of this problem is obtained.
