First order partial functional differential equations with unbounded delay.
Forced oscillation of certain hyperbolic equations with continuous distributed deviating arguments
Certain hyperbolic equations with continuous distributed deviating arguments are studied, and sufficient conditions are obtained for every solution of some boundary value problems to be oscillatory in a cylindrical domain. Our approach is to reduce the multi-dimensional oscillation problems to one-dimensional oscillation problems for functional differential inequalities by using some integral means of solutions.
Forced oscillations of a class of nonlinear delay hyperbolic equations
Frequent oscillatory behavior of delay partial difference equations with positive and negative coefficients.
Functional differential equations of the Cauchy-Kowalewsky type.
Functional differential equations with non-local boundary conditions.
Functional differential inequalities with unbounded delay
Classical solutions of functional partial differential inequalities with initial boundary conditions are estimated by maximal solutions of suitable problems for ordinary functional differential equations. Uniqueness of solutions and continuous dependence on given functions are obtained as applications of the comparison result. A theorem on weak functional differential inequalities generated by mixed problems is proved. Our method is based on an axiomatic approach to equations with unbounded delay....