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USES OF APPLIED MATHEMATICS IN POLITICAL SCIENCE
In: Policy studies journal: the journal of the Policy Studies Organization, Band 2, Heft 1, S. 48-51
ISSN: 1541-0072
On a pure traction problem for the nonlinear elasticity system in Sobolev spaces with variable exponents
In: Studia Universitatis Babeş-Bolyai. Mathematica, Band 67, Heft 1, S. 167-180
ISSN: 2065-961X
"The paper deals with a nonlinear elasticity system with nonconstant coe cients. The existence and uniqueness of the solution of Neumann's problem is proved using Galerkin techniques and monotone operator theory, in Sobolev spaces with variable exponents."
Teaching Strategies and Technology Integration in Developing Blended Learning of Applied Mathematics Subject
In: International research journal of engineering, IT & scientific research 2019
SSRN
A dynamic electroviscoelastic problem with thermal effects
In: Studia Universitatis Babeş-Bolyai. Mathematica, Band 66, Heft 4, S. 769-781
ISSN: 2065-961X
We consider a mathematical model which describes the dynamic pro- cess of contact between a piezoelectric body and an electrically conductive foun- dation. We model the material's behavior with a nonlinear electro-viscoelastic constitutive law with thermal e ects. Contact is described with the Signorini condition, a version of Coulomb's law of dry friction. A variational formulation of the model is derived, and the existence of a unique weak solution is proved. The proofs are based on the classical result of nonlinear rst order evolution inequali- ties, the equations with monotone operators, and the xed point arguments.
Applied Mathematics & Statistics - Statistical Tolerance Limits for Process Capability (Short Communication)
In: Defence science journal: a journal devotet to science & technology in defence, Band 54, Heft 3, S. 303-308
ISSN: 0011-748X
SSRN
A dynamic Tresca's frictional contact problem with damage for thermo elastic-viscoplastic bodies
In: Studia Universitatis Babeş-Bolyai. Mathematica, Band 64, Heft 3, S. 433-449
ISSN: 2065-961X
Analysis of quasistatic viscoelastic viscoplastic piezoelectric contact problem with friction and adhesion
In: Studia Universitatis Babeş-Bolyai. Mathematica, Band 67, Heft 4, S. 871-889
ISSN: 2065-961X
"In this paper we study the process of bilateral contact with adhesion and friction between a piezoelectric body and an insulator obstacle, the socalled foundation. The material's behavior is assumed to be electro-viscoelastic- viscoplastic; the process is quasistatic, the contact is modeled by a general non-local friction law with adhesion. The adhesion process is modeled by a bonding field on the contact surface. We derive a variational formulation for the problem and then, under a smallness assumption on the coe cient of friction, we prove the existence of a unique weak solution to the model. The proofs are based on a general results on elliptic variational inequalities and fixed point arguments."
Global existence and stability of solution for a p-Kirchhoff type hyperbolic equation with damping and source terms
In: Studia Universitatis Babeş-Bolyai. Mathematica, Band 67, Heft 4, S. 817-827
ISSN: 2065-961X
"In this paper, we consider a nonlinear $p-$Kirchhoff type hyperbolic equation with damping and source terms $$u_{tt}-M\left( \underset{\Omega }{\int }\left\vert \nabla u\right\vert ^{p}dx\right) \Delta _{p}u+\left\vert u_{t}\right\vert ^{m-2}u_{t}=\left\vert u\right\vert ^{r-2}u.$$ Under suitable assumptions and positive initial energy, we prove the global existence of solution by using the potential energy and Nehari's functionals. Finally, the stability of equation is established based on Komornik's integral inequality."
Glover, James W. Tables of Applied Mathematics in Finance, Insurance, Statistics. Pp. xiii, 676. Price, $4.50, cloth. George Wahr, Publisher, Ann Arbor, Mich., 1923
In: The annals of the American Academy of Political and Social Science, Band 108, Heft 1, S. 226-226
ISSN: 1552-3349
General stabilization of a thermoelastic systems with a boundary control of a memory type
In: Studia Universitatis Babeş-Bolyai. Mathematica, Band 67, Heft 3, S. 533-544
ISSN: 2065-961X
"In this paper we consider an n-dimensional thermoelastic system, in a bounded domain, where the memory-type damping is acting on a part of the boundary and where the resolvent kernel k of ${-g^{\prime }(t)}/{g(0)} $ satisfies\linebreak $k^{\prime \prime }(t)\geq \gamma \left( t\right) (-k^{\prime }(t))^{p}$, $t\geq 0$, $1< p<\frac{3}{2} $. We establish a general decay result, from which the usual exponential and polynomial decay rates are only special cases. This work generalizes and improves earlier results in the literature."
Global nonexistence of solution for coupled nonlinear Klein-Gordon with degenerate damping and source terms
In: Studia Universitatis Babeş-Bolyai. Mathematica, Band 67, Heft 4, S. 801-815
ISSN: 2065-961X
"In this article we consider a coupled system of nonlinear Klein-Gordon equations with degenerate damping and source terms. We prove, with positive initial energy, the global nonexistence of solutions by concavity method."
Bounds for blow-up time in a semilinear parabolicproblem with variable exponents
In: Studia Universitatis Babeş-Bolyai. Mathematica, Band 67, Heft 1, S. 181-188
ISSN: 2065-961X
This report deals with a blow-up of the solutions to a class of semilinear parabolic equations with variable exponents nonlinearities. Under some appropriate assumptions on the given data, a more general lower bound for a blow-up time is obtained if the solutions blow up. This result extends the recent results given by Baghaei Khadijeh et al. \cite{Baghaei}, which ensures the lower bounds for the blow-up time of solutions with initial data $\varphi\left( 0\right) =\int_{\Omega }u_{0}{}^{k}dx$, $k$ = constant.