On linear singular functional-differential equations in one functional space

On Linear Singular Functional-differential Equations in One Functional Space

The case where K and S are continuous on Lp[0,1] operators is well studied (see, e.g., [1] and the references therein). Here we suppose that the functions K(t,s) and B(t) may be nonintegrable at t = 0. More precisely, we will formulate conditions on operators K and S in Sections 2 and 3. Under such conditions, those operators are not bounded on L[0,1] and one has to choose other functional spac...

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.

Random fractional functional differential equations

In this paper, we prove the existence and uniqueness results to the random fractional functional differential equations under assumptions more general than the Lipschitz type condition. Moreover, the distance between exact solution and appropriate solution, and the existence extremal solution of the problem is also considered.

On Singular Solutions of Linear Functional Differential Equations with Negative Coefficients

random fractional functional differential equations

in this paper, we prove the existence and uniqueness results to the random fractional functional differential equations under assumptions more general than the lipschitz type condition. moreover, the distance between exact solution and appropriate solution, and the existence extremal solution of the problem is also considered.