Partial differential equations in Banach spaces involving nilpotent linear operators

Multivalued Linear Operators and Differential Inclusions in Banach Spaces

In this paper, we study multivalued linear operators (MLO’s) and their resolvents in non reflexive Banach spaces, introducing a new condition of a minimal growth at infinity, more general than the HilleYosida condition. Then we describe the generalized semigroups induced by MLO’s. We present a criterion for an MLO to be a generator The work of A. Baskakov and V. Obukhovskii is partially support...

Linear operators of Banach spaces with range in Lipschitz algebras

In this paper, a complete description concerning linear operators of Banach spaces with range in Lipschitz algebras $lip_al(X)$ is provided. Necessary and sufficient conditions are established to ensure boundedness and (weak) compactness of these operators. Finally, a lower bound for the essential norm of such operators is obtained.

FUZZY FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS IN PARTIALLY ORDERED METRIC SPACES

In this paper, we consider fuzzy fractional partial differential equations under Caputo generalized Hukuhara differentiability. Some new results on the existence and uniqueness of two types of fuzzy solutions are studied via  weakly contractive mapping in the partially ordered metric space. Some application examples are presented to illustrate our main results.

Linear Operators in the Theory of Partial Differential Equations

Some Linear Operators in the Theory of Partial Differential Equations.