An extremum principle for a generalized solution of equations of hyperbolic and mixed type

1981 ◽  
Vol 22 (1) ◽  
pp. 73-81
Author(s):  
L. I. Kovalenko
Keyword(s):  
Mixed Type ◽  
Generalized Solution ◽  
Extremum Principle ◽  
Solution Of Equations

scholarly journals On the solvability of a boundary value problem for a quasilinear equation of mixed type with two degeneration lines

2021 ◽  
Vol 2070 (1) ◽  
pp. 012002
Author(s):  
Xaydar R. Rasulov
Keyword(s):  
Boundary Value Problem ◽  
Mixed Type ◽  
Boundary Value ◽  
Quasilinear Equation ◽  
Generalized Solution ◽  
Order Partial Differential Equation ◽  
Existence Of A Solution ◽  
First Order ◽  
Weighted Norms ◽  
Equation Of Mixed Type

Abstract The article investigates the existence of a generalized solution to one boundary value problem for an equation of mixed type with two lines of degeneration in the weighted space of S.L. Sobolev. In proving the existence of a generalized solution, the spaces of functions U(Ω) and V (Ω) are introduced, the spaces H1(Ω) and H 1 * (Ω) are defined as the completion of these spaces of functions, respectively, with respect to the weighted norms, including the functions K(y) and N(x). Using an auxiliary boundary value problem for a first order partial differential equation, Kondrashov’s theorem on the compactness of the embedding of W 2 1 (Ω) in L2(Ω) and Vishik’s lemma, the existence of a solution to the boundary value problem is proved.

MODULATION OF TRIGLYCERIDES IN FEMALE RATTUS RATTUS WITH STEROID CONTRACEPTIVE ALGESTONE ACETOPHENIDE (DHPA)

2019 ◽  
Vol 25 (1) ◽  
Author(s):  
ASHOK KUMAR ◽  
ALPANA PARMAR ◽  
ANAND KUMAR BAJPEYEE
Keyword(s):  
Mixed Type ◽  
Rattus Rattus ◽  
Young Female ◽  
Female Rats ◽  
Control Group ◽  
Black Rat ◽  
Long Acting ◽  
Steroid Contraceptive

Young female Black rat (Rattus rattus), were administered monthly long acting steroid contraceptive to induce hypertriglyceridemia. It was observed that by 3 weeks of the second injection of estrogen containing mixed type of contraceptive, female rats developed consistent and frank hyperglyceridemia . TG in the treated rats was 195.8 ± 7.44 mg /100 ml as compared to 91.5 ± 6.27 mg/100ml in plasma of the control group.

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