In this paper, by using the tools involving the measure of noncom- pactness and fixed point theory, we obtain existence of mild solution of semilinear differential equation

Key Words: Wiener amalgam spaces, Feichtinger’s algebra, homogeneous Banach spaces, Besov-, Sobolev-, fractional Sobolev spaces, modulation spa- ces, Herz spaces,

Abstract: In this paper, we show the triangle inequality and its reverse inequality in quasi- Banach spaces.... Triangle Inequality in Quasi-Banach Spaces Cong Wu and Yongjin

First is obtained a local solution of the problem by using the method of successive approximations, a characterization of the derivative of the non- linear term of the equation

ZAMANI ESKANDANI, Stability of a mixed additive and cubic functional equation in quasi-Banach spaces, J. PARK, On the stability of the linear mapping in Banach

Using these parameters, one can easily distinguish several important classes of spaces such as uniform non-squareness or spaces having normal structure.. In this paper, we are going

In this paper, we study the weakly convergent sequence coefficient and obtain its estimates for some parameters in Banach spaces, which give some sufficient conditions for a

In Section 2, we solve the additive .˛; ˇ/-functional equation (0.1) in vector spaces and prove the Hyers-Ulam stability of the additive .˛; ˇ/-functional equation (0.1) in

H uang , Hyers–Ulam stability of linear second-order differential equations in complex Banach spaces, Electron.. Differential Equations,

SKHIRI, On the essential minimum modulus of linear operators in Banach spaces 147.. The class of b-limited operators

Keywords: differential-operator equations, degenerate PDE, semigroups of opera- tors, nonlinear problems, separable differential operators, positive operators in Banach spaces..

M¨ onch, Boundary-Value Problems for Nonlinear Ordinary Differential Equations of Second Order in Banach Spaces, Nonlinear Analysis 4(1980) 985-999..

Key words and phrases: Banach Function spaces, generalized Orlicz class, generalized Orlicz space, Luxemburg norm, Young function, Young’s inequality, imbedding,

Present study dealt with the potential inhibitory properties of hy- droxybenzoic acid (gallic, vanillic, syringic, 4-hydroxybenzoic and protocatechuic acids), hydroxycinnamic

In gencral minimum analysis time can be obtained for carrier gas pro- gramming by means of alternately connected columns if the following relation- ship holds for each

Key words and phrases: Nonlinear neutral Fredholm integro-differential equations in Banach spaces, Perov’s fixed point the- orem, Method of successive approximations,

BROWDER, Existence theorems for nonlinear in- tegral equations of Hammerstein type, Bull. BROWDER, Nonlinear mappings of nonexpansive and accretive type in Banach

Key words: Nonlinear neutral Fredholm integro-differential equations in Banach spaces, Perov’s fixed point theorem, Method of successive approxima- tions, Trapezoidal quadrature