Theorems on functional equations

Stability theorems for some functional differential equations

On impulsive fuzzy functional differential equations

In this paper, we prove the existence and uniqueness of solution to the impulsive fuzzy functional differential equations under generalized Hukuhara differentiability via the principle of contraction mappings. Some examples are provided to illustrate the result.

Fixed Point Theorems with Ppf Dependence and Functional Differential Equations

In this paper, some fixed point theorems with PPF dependence in Banach spaces are proved and then applied to functional differential equations of delay type for proving the existence of solutions. Our results generalizes the fixed point theorems with PPF dependence of Bernfield et al. [1] under weaker conditions.

Massera Type Theorems for Abstract Functional Differential Equations

The paper is concerned with conditions for the existence of almost periodic solutions of the following abstract functional differential equation u̇(t) = Au(t)+[Bu](t)+f(t), where A is a closed operator in a Banach space X, B is a general bounded linear operator in the function space of all X-valued bounded and uniformly continuous functions that satisfies a so-called autonomous condition. We dev...

Oscillation Theorems for Certain Higher Order Nonlinear Functional Differential Equations

Some new oscillation theorems for higher-order nonlinear functional differential equations of the form d n dt n a(t) d n x(t) dt n α + q(t)f x g(t) = 0, α > 0, are established.