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1

Analysis and Simulations of Coupled Bulk-surface Reaction-Diffusion Systems on Exponentially Evolving Volumes

Madzvamuse, A., Chung, A. H., Morozov, A., Ptashnyk, M., Volpert, V.

Journal:

Mathematical Modelling of Natural Phenomena

Year:

2016

Language:

english

File:

PDF, 1.90 MB

english, 2016

2

Problems for partial differential equations with nonlocal conditions. Metric approach to the problem of small denominators

V. S. Il’kiv, B. I. Ptashnyk

Journal:

Ukrainian Mathematical Journal

Year:

2006

Language:

english

File:

PDF, 468 KB

english, 2006

3

A dynamic model of nutrient uptake by root hairs

D. Leitner, S. Klepsch, M. Ptashnyk, A. Marchant, G. J. D. Kirk, A. Schnepf, T. Roose

Journal:

New Phytologist

Year:

2010

Language:

english

File:

PDF, 452 KB

english, 2010

4

Derivation of a Macroscopic Model for Transport of Strongly Sorbed Solutes in the Soil Using Homogenization Theory

Ptashnyk, Mariya, Roose, Tiina

Journal:

SIAM Journal on Applied Mathematics

Year:

2010

Language:

english

File:

PDF, 391 KB

english, 2010

5

Derivation of a Macroscopic Receptor-Based Model Using Homogenization Techniques

Marciniak-Czochra, Anna, Ptashnyk, Mariya

Journal:

SIAM Journal on Mathematical Analysis

Year:

2008

Language:

english

File:

PDF, 357 KB

english, 2008

6

Sozialpsychologie des Sprachverhaltens. Der deutsch-ungarische Sprachkonflikt in der Habsburgermonarchieby Péter Maitz

Review by: Stefaniya Ptashnyk

Journal:

Zeitschrift für Dialektologie und Linguistik

Year:

2008

Language:

german

File:

PDF, 429 KB

german, 2008

7

Stochastic homogenization of the Keller–Segel chemotaxis system

Matzavinos, Anastasios, Ptashnyk, Mariya

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2016

Language:

english

File:

PDF, 776 KB

english, 2016

8

The Impact of Microfibril Orientations on the Biomechanics of Plant Cell Walls and Tissues

Ptashnyk, Mariya, Seguin, Brian

Journal:

Bulletin of Mathematical Biology

Year:

2016

Language:

english

File:

PDF, 1.35 MB

english, 2016

9

Homogenization of a system of elastic and reaction-diffusion equations modelling plant cell wall biomechanics

Ptashnyk, Mariya, Seguin, Brian

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2016

Language:

english

File:

PDF, 773 KB

english, 2016

10

Mathematical Modelling and Analysis of the Brassinosteroid and Gibberellin Signalling Pathways and their Interactions

Allen, Henry R., Ptashnyk, Mariya

Journal:

Journal of Theoretical Biology

Year:

2017

Language:

english

File:

PDF, 2.30 MB

english, 2017

11

The Effect of Cell Death on the Stability of a Growing Biofilm

Wallace, H. A., Li, L., Davidson, F. A., Morozov, A., Ptashnyk, M., Volpert, V.

Journal:

Mathematical Modelling of Natural Phenomena

Year:

2016

Language:

english

File:

PDF, 2.20 MB

english, 2016

12

Using Numerical Bifurcation Analysis to Study Pattern Formation in Mussel Beds

Sherratt, J.A., Morozov, A., Ptashnyk, M., Volpert, V.

Journal:

Mathematical Modelling of Natural Phenomena

Year:

2016

Language:

english

File:

PDF, 1.04 MB

english, 2016

13

Degenerate quasilinear pseudoparabolic equations with memory terms and variational inequalities

Mariya Ptashnyk

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2007

Language:

english

File:

PDF, 286 KB

english, 2007

14

Multipoint problem for typeless systems of differential equations with constant coefficients

B. I. Ptashnyk, L. P. Sylyuha

Journal:

Ukrainian Mathematical Journal

Year:

1997

Language:

english

File:

PDF, 671 KB

english, 1997

15

Nonlocal boundary-value problems for systems on linear partial differential equations

T. P. Goi, B. I. Ptashnyk

Journal:

Ukrainian Mathematical Journal

Year:

1997

Language:

english

File:

PDF, 467 KB

english, 1997

16

A multipoint problem for partial differential equations unresolved with respect to the higher time derivative

I. S. Klyus, B. I. Ptashnyk

Journal:

Ukrainian Mathematical Journal

Year:

1999

Language:

english

File:

PDF, 509 KB

english, 1999

17

A multipoint problem for partial integro-differential equations

P. B. Vasylyshyn, B. I. Ptashnyk

Journal:

Ukrainian Mathematical Journal

Year:

1998

Language:

english

File:

PDF, 959 KB

english, 1998

18

All-Ukrainian scientific conference “New approaches to the solution of differential equations”

A. M. Samoilenko, B. I. Ptashnyk

Journal:

Ukrainian Mathematical Journal

Year:

1998

Language:

english

File:

PDF, 446 KB

english, 1998

19

Pseudoparabolic variational inequalities without initial conditions

S. P. Lavrenyuk, M. B. Ptashnyk

Journal:

Ukrainian Mathematical Journal

Year:

1998

Language:

english

File:

PDF, 1.60 MB

english, 1998

20

On certain nonlinear pseudoparabolic variational inequalities without initial conditions

S. P. Lavrenyuk, M. B. Ptashnyk

Journal:

Ukrainian Mathematical Journal

Year:

1999

Language:

english

File:

PDF, 433 KB

english, 1999

21

A multipoint problem with multiple nodes for linear hyperbolic equations

V. I. Bernik, V. V. Beresnevich, P. B. Vasylyshyn, B. I. Ptashnyk

Journal:

Ukrainian Mathematical Journal

Year:

1999

Language:

english

File:

PDF, 361 KB

english, 1999

22

Boundary-value problem for equations with variable coefficients unsolvable with respect to the higher time derivative

N. I. Bilusyak, B. Yo. Ptashnyk

Journal:

Journal of Mathematical Sciences

Year:

2009

Language:

english

File:

PDF, 250 KB

english, 2009

23

Boundary-value problem with mixed conditions for weakly nonlinear hyperbolic equations

N. I. Bilusyak, B. Yo. Ptashnyk, S. M. Repetylo

Journal:

Journal of Mathematical Sciences

Year:

2012

Language:

english

File:

PDF, 166 KB

english, 2012

24

Multipoint problem for higher-order parabolic equations in a parallelepiped

B. I. Ptashnyk, I. R. Tymkiv

Journal:

Nonlinear Oscillations

Year:

2009

Language:

english

File:

PDF, 746 KB

english, 2009

25

An ill-posed nonlocal two-point problem for systems of partial differential equations

V. S. Il’kiv, B. I. Ptashnyk

Journal:

Siberian Mathematical Journal

Year:

2005

Language:

english

File:

PDF, 202 KB

english, 2005

26

Nonlocal boundary-value problem for linear partial differential equations unsolved with respect to the higher time derivative

O. D. Vlasii, B. I. Ptashnyk

Journal:

Ukrainian Mathematical Journal

Year:

2007

Language:

english

File:

PDF, 167 KB

english, 2007

27

Well-posedness of boundary-value problems for multidimensional hyperbolic systems

I. Ya. Kmit’, B. I. Ptashnyk

Journal:

Ukrainian Mathematical Journal

Year:

2008

Language:

english

File:

PDF, 146 KB

english, 2008

28

Modelling in vitro growth of dense root networks

Peter Bastian, Andrés Chavarría-Krauser, Christian Engwer, Willi Jäger, Sven Marnach, Mariya Ptashnyk

Journal:

Journal of Theoretical Biology

Year:

2008

Language:

english

File:

PDF, 508 KB

english, 2008

29

Derivation of a macroscopic model for nutrient uptake by hairy-roots

Mariya Ptashnyk

Journal:

Nonlinear Analysis: Real World Applications

Year:

2010

Language:

english

File:

PDF, 372 KB

english, 2010

30

Homogenization of long-range auxin transport in plant tissues

Andrés Chavarría-Krauser, Mariya Ptashnyk

Journal:

Nonlinear Analysis: Real World Applications

Year:

2010

Language:

english

File:

PDF, 1.05 MB

english, 2010

31

Diffusion of strongly sorbed solutes in soil: a dual-porosity model allowing for slow access to sorption sites and time-dependent sorption reactions

M. Ptashnyk, T. Roose, G. J. D. Kirk

Journal:

European Journal of Soil Science

Year:

2010

Language:

english

File:

PDF, 734 KB

english, 2010

32

Enhanced zinc uptake by rice through phytosiderophore secretion: a modelling study

MARIYA PTASHNYK, TIINA ROOSE, DAVEY L. JONES, GUY J. D. KIRK

Journal:

Plant, Cell & Environment

Year:

2011

Language:

english

File:

PDF, 672 KB

english, 2011

33

A Boundary-Value Problem for Weakly Nonlinear Hyperbolic Equations with Data on the Entire Boundary of a Domain

N. I. Bilusyak, B. I. Ptashnyk

Journal:

Ukrainian Mathematical Journal

Year:

2001

Language:

english

File:

PDF, 103 KB

english, 2001

34

A Multipoint Problem with Complex Coefficients for Partial Differential Equations That Are Unsolvable for the Highest Derivative

I. S. Klyus, B. Ya. Ptashnyk

Journal:

Journal of Mathematical Sciences

Year:

2001

Language:

english

File:

PDF, 104 KB

english, 2001

35

Boundary-Value Problem for Weakly Nonlinear Hyperbolic Equations with Variable Coefficients

N. I. Bilusyak, B. I. Ptashnyk

Journal:

Ukrainian Mathematical Journal

Year:

2001

Language:

english

File:

PDF, 119 KB

english, 2001

36

A Problem with Nonlocal Conditions for Partial Differential Equations with Variable Coefficients

O. D. Vlasii, B. I. Ptashnyk

Journal:

Ukrainian Mathematical Journal

Year:

2001

Language:

english

File:

PDF, 131 KB

english, 2001

37

Some Pseudoparabolic Variational Inequalities with Higher Derivatives

Journal:

Ukrainian Mathematical Journal

Year:

2002

Language:

english

File:

PDF, 166 KB

english, 2002

38

International Scientific Conference “New Approaches to the Solution of Differential Equations”

A. M. Samoilenko, B. I. Ptashnyk

Journal:

Ukrainian Mathematical Journal

Year:

2002

Language:

english

File:

PDF, 39 KB

english, 2002

39

A Problem with Nonlocal Conditions for Partial Differential Equations Unsolved with Respect to the Leading Derivative

O. D. Vlasii, B. I. Ptashnyk

Journal:

Ukrainian Mathematical Journal

Year:

2003

Language:

english

File:

PDF, 190 KB

english, 2003

40

Boundary-value problems for hyperbolic equations with constant coefficients

I. O. Bobyk, B. I. Ptashnyk

Journal:

Ukrainian Mathematical Journal

Year:

1994

Language:

english

File:

PDF, 360 KB

english, 1994

41

Nonlocal boundary-value problem for parabolic equations with variable coefficients

N. M. Zadorozhna, B. I. Ptashnyk

Journal:

Ukrainian Mathematical Journal

Year:

1995

Language:

english

File:

PDF, 383 KB

english, 1995

42

Representation and investigation of solutions of a nonlocal boundary-value problem for a system of partial differential equations

V. S. H’kiv, B. I. Ptashnyk

Journal:

Ukrainian Mathematical Journal

Year:

1996

Language:

english

File:

PDF, 1.87 MB

english, 1996

43

Multipoint problem for typeless factorized differential operators

B. I. Ptashnyk, L. P. Sylyuga

Journal:

Ukrainian Mathematical Journal

Year:

1996

Language:

english

File:

PDF, 2.07 MB

english, 1996

44

Multipoint problem for hyperbolic equations with variable coefficients

P. B. Vasylyshyn, I. S. Klyus, B. I. Ptashnyk

Journal:

Ukrainian Mathematical Journal

Year:

1996

Language:

english

File:

PDF, 1.63 MB

english, 1996

45

A multipoint problem for a parabolic equation with variable coefficients in a cylindrical domain

B. Yo. Ptashnyk, I. R. Tymkiv

Journal:

Journal of Mathematical Sciences

Year:

2012

Language:

english

File:

PDF, 177 KB

english, 2012

46

A multiscale approach to curvature modulated sorting in biological membranes

M. Mercker, M. Ptashnyk, J. Kühnle, D. Hartmann, M. Weiss, W. Jäger

Journal:

Journal of Theoretical Biology

Year:

2012

Language:

english

File:

PDF, 2.07 MB

english, 2012

47

Comparative Investigations on the Retrieval Capabilities of Various Baskets and Graspers in Four Ex Vivo Models

Taras Ptashnyk, Armando Cueva-Martinez, Maurice Stephan Michel, Peter Alken, Kai Uwe Köhrmann

Journal:

European Urology

Year:

2002

Language:

english

File:

PDF, 128 KB

english, 2002

48

Ex-vivo comparison of retrieval capabilities of different tools for stone extraction

Taras Ptashnyk, Armando Cueva-Martinez, Maurice Stephan Michel, Kai Uwe Koermann, Peter Alken

Journal:

European Urology Supplements

Year:

2002

Language:

english

File:

PDF, 181 KB

english, 2002

49

Flexible ureterorenoscopy (flexurs) as an auxiliary procedure in urolithiasis: a retrospective analysis of 56 cases

Kai Uwe Koermann, Taras Ptashnyk, Armando Cueva-Martinez, Maurice Stephan Michel, Peter Alken

Journal:

European Urology Supplements

Year:

2002

Language:

english

File:

PDF, 180 KB

english, 2002

50

Flexible ureterorenoscopy for stone treatment in the lower calyx: influence of the scope and the working instruments on deflection and vision

Maurice Stephan Michel, Taras Ptashnyk, Kai Köhrmann, Peter Alken

Journal:

European Urology Supplements

Year:

2002

Language:

english

File:

PDF, 181 KB

english, 2002