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- Stevan Pilipovic, Bogoljub Stankovic, Jasson Vindas
- Series on Analysis, Applications and Computation
- 2011

We investigate microlocal properties of partial differential operators with generalized functions as coefficients. The main result is an extension of a corresponding (microlocalized) distribution theoretic result on operators with smooth hypoelliptic symbols. Methodological novelties and technical refinements appear embedded into classical strategies of… (More)

- Jovan K. Popović, Milica T. Atanacković, Ana S. Pilipović, Milan R. Rapaić, Stevan Pilipović, Teodor M. Atanacković
- Journal of Pharmacokinetics and Pharmacodynamics
- 2009

This study presents a new two compartmental model and its application to the evaluation of diclofenac pharmacokinetics in a small number of healthy adults, during a bioequivalence trial. In the model the integer order derivatives are replaced by derivatives of real order often called fractional order derivatives. Physically that means that a history… (More)

- Richard D. Carmichael, Andrzej Kaminski, Stevan Pilipovic
- Series on Analysis, Applications and Computation
- 2007

- Elena Cordero, Stevan Pilipović, Luigi Rodino, Nenad Teofanov
- 2005

We study localization operators within the framework of ultradistributions. More precisely, given a symbol a and two windows φ1, φ2, we investigate the multilinear mapping from (a, φ1, φ2) ∈ S ′ (R)×S(R)× S(R) to the localization operator A12 a . Results are formulated in terms of modulation spaces with weights which may have exponential growth. We give… (More)

A topological description of various generalized function algebras over corresponding basic locally convex algebras is given. The framework consists of algebras of sequences with appropriate ultra(pseudo)metrics defined by sequences of exponential weights. Such an algebra with embedded Dirac’s delta distribution induces discrete topology on the basic space.… (More)

- Marko Janev, Stevan Pilipovic, Teodor M. Atanackovic, Radovan Obradovic, Nebojsa M. Ralevic
- Mathematical and Computer Modelling
- 2011

An asymptotic analysis in the framework of Karamata regularly varying functions is performed for the solutions of second order linear differential and functional differential equations in the critical case i.e., when condition (1.5) as given below, holds.

- Jovan K. Popović, Diana Dolićanin, Milan R. Rapaić, Stevan L. Popović, Stevan Pilipović, Teodor M. Atanacković
- European Journal of Drug Metabolism and…
- 2011

This study presents a new nonlinear two compartmental model and its application to the evaluation of valproic acid (VPA) pharmacokinetics in human volunteers after oral administration. We have used literature VPA concentrations. In the model, the integer order derivatives are replaced by derivatives of real order often called fractional order derivatives.… (More)

- Antoine Delcroix, Maximilian F. Hasler, +5 authors V. Valmorin
- 2002

In a recent paper, we gave a topological description of Colombeau type algebras introducing algebras of sequences with exponential weights. Embeddings of Schwartz spaces into the Colombeau algebra G are well known, but for ultradistribution and periodic hyperfunction type spaces we give new constructions. We show that the multiplication of regular enough… (More)