Abstract This paper studies topological duals of locally convex function spaces that are natural generalizations Fréchet and Banach spaces. The dual is identified with the direct sum another space, a space purely finitely additive measures annihilator $$L^\infty $$ L ? ...

The occurrence of SH wave propagation under the effect of a point source in an orthotropic substratum lying over a heterogeneous orthotropic half space is deliberated in the prospect of a devastating earthquake. The quadratic alteration is acknowledged for density and shear modulus which is hypothesized to be a function of depth. The method of Green's function and transformation technique contr...

For fixed ƒ and r this mean modulus Mt(r;f) as a function of / is continuous, nonnegative, nondecreasing, and is bounded above by the maximum modulus of ƒ on C(r) [l, 2 ] . 1 Therefore the limit of Mt(r;f) exists as /—>0 and /—» oo. This limit is defined to be the mean modulus of ƒ on C(r) of order 0 and of order oo respectively. I t may be shown that the mean modulus of order 0 is the geometri...

Abstract For a class of functionals having the ( p , q )-growth, we establish an improved range exponents for which Lavrentiev phenomenon does not occur. The proof is based on standard mollification argument and Young convolution inequality. Our contribution two-fold. First, observe that it sufficient to regularise only bounded functions. Second, exploit $$L^{\infty }$$ <mml:math xmlns:mml="htt...

Turbine oil plays an important role in supporting optimal steam turbine performance. Some additives in turbine oil can cause emulsification when the oil is contaminated by water, so demulsibility is a very important property of the steam turbine oil. In order to improve the demulsibility of steam turbine oil, two kinds of polyether-silicone comb copolymers are synthesized and used as steam turb...

the effect of the filler content and the different type of wood flour on the mechanical properties of polyethylene- date palm wood flour (dpwf) composite which are gathered from date palm tree annual pruning was studied. the different types of dpwf were stem, leaf and the mixture of stem and leaf. composites were made at 45, 60 and 75 % by weight filler contents. the particle size was 25-40 mes...