Abstract: The objective of this paper is to study the existence and
uniqueness of Mild solutions for a complex fuzzy evolution equation
with nonlocal conditions that accommodates the notion of fuzzy sets
defined by complex-valued membership functions. We first propose
definition of complex fuzzy strongly continuous semigroups. We then
give existence and uniqueness result relevant to the complex fuzzy
evolution equation.
Abstract: The paper is concerned with the existence of solution
of nonlinear second order neutral stochastic differential inclusions
with infinite delay in a Hilbert Space. Sufficient conditions for the
existence are obtained by using a fixed point theorem for condensing
maps.
Abstract: Acid rain occurs when sulphur dioxide (SO2) and
nitrogen oxides (Nox) gases react in the atmosphere with water,
oxygen, and other chemicals to form various acidic compounds. The
result is a mild solution of sulfuric acid and nitric acid. Soil has a
greater buffering capacity than aquatic systems. However excessive
amount of acids introduced by acid rains may disturb the entire soil
chemistry. Acidity and harmful action of toxic elements damage
vegetation while susceptible microbial species are eliminated. In
present study, the effects of simulated sulphuric acid and nitric acid
rains were investigated on crop Glycine max. The effect of acid rain
on change in soil fertility was detected in which pH of control sample
was 6.5 and pH of 1%H2SO4 and 1%HNO3 were 3.5. Nitrogen nitrate
in soil was high in 1% HNO3 treated soil & Control sample.
Ammonium nitrogen in soil was low in 1% HNO3 & H2SO4 treated
soil. Ammonium nitrogen was medium in control and other samples.
The effect of acid rain on seed germination on 3rd day of germination
control sample growth was 7 cm, 0.1% HNO3 was 8cm, and 0.001%
HNO3 & 0.001% H2SO4 was 6cm each. On 10th day fungal growth
was observed in 1% and 0.1%H2SO4 concentrations, when all plants
were dead. The effect of acid rain on crop productivity was
investigated on 3rd day roots were developed in plants. On12th day
Glycine max showed more growth in 0.1% HNO3, 0.001% HNO3 and
0.001% H2SO4 treated plants growth were same as compare to control
plants. On 20th day development of discoloration of plant pigments
were observed on acid treated plants leaves. On 38th day, 0.1, 0.001%
HNO3 and 0.1, 0.001% H2SO4 treated plants and control plants were
showing flower growth. On 42th day, acid treated Glycine max variety
and control plants were showed seeds on plants. In Glycine max
variety 0.1, 0.001% H2SO4, 0.1, 0.001% HNO3 treated plants were
dead on 46th day and fungal growth was observed. The toxicological
study was carried out on Glycine max plants exposed to 1% HNO3
cells were damaged more than 1% H2SO4. Leaf sections exposed to
0.001% HNO3 & H2SO4 showed less damaged of cells and
pigmentation observed in entire slide when compare with control
plant. The soil analysis was done to find microorganisms in HNO3 &
H2SO4 treated Glycine max and control plants. No microorganism
growth was observed in 1% HNO3 & H2SO4 but control plant showed
microbial growth.