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1

On generalizations of the Euler–Lagrange equation

Urszula Ledzewicz, Heinz Schaettler

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2001

File:

PDF, 555 KB

2001

2

[Interdisciplinary Applied Mathematics] Geometric Optimal Control Volume 38 || The Calculus of Variations: A Historical Perspective

Schättler, Heinz, Ledzewicz, Urszula

Year:

2012

Language:

english

File:

PDF, 1.31 MB

english, 2012

3

[Interdisciplinary Applied Mathematics] Geometric Optimal Control Volume 38 || The Pontryagin Maximum Principle: From Necessary Conditions to the Construction of an Optimal Solution

Schättler, Heinz, Ledzewicz, Urszula

Year:

2012

Language:

english

File:

PDF, 1.57 MB

english, 2012

4

[Interdisciplinary Applied Mathematics] Optimal Control for Mathematical Models of Cancer Therapies Volume 42 ||

Schättler, Heinz, Ledzewicz, Urszula

Year:

2015

Language:

english

File:

PDF, 14.07 MB

english, 2015

5

[Interdisciplinary Applied Mathematics] Optimal Control for Mathematical Models of Cancer Therapies Volume 42 || Cancer and Tumor Development: Biomedical Background

Schättler, Heinz, Ledzewicz, Urszula

Year:

2015

Language:

english

File:

PDF, 655 KB

english, 2015

6

On the optimal control problems with Gâteaux differentiable operator constraints

Urszula Łȩdzewicz-Kowalewska

Journal:

Journal of Mathematical Analysis and Applications

Year:

1988

Language:

english

File:

PDF, 627 KB

english, 1988

7

[Interdisciplinary Applied Mathematics] Geometric Optimal Control Volume 38 || The High-Order Maximum Principle: From Approximations of Reachable Sets to High-Order Necessary Conditions for Optimality

Schättler, Heinz, Ledzewicz, Urszula

Year:

2012

Language:

english

File:

PDF, 1.16 MB

english, 2012

8

[Interdisciplinary Applied Mathematics] Geometric Optimal Control Volume 38 || The Method of Characteristics: A Geometric Approach to Sufficient Conditions for a Local Minimum

Schättler, Heinz, Ledzewicz, Urszula

Year:

2012

Language:

english

File:

PDF, 1.24 MB

english, 2012

9

[Interdisciplinary Applied Mathematics] Geometric Optimal Control Volume 38 || Control-Affine Systems in Low Dimensions: From Small-Time Reachable Sets to Time-Optimal Syntheses

Schättler, Heinz, Ledzewicz, Urszula

Year:

2012

Language:

english

File:

PDF, 1.06 MB

english, 2012

10

[Interdisciplinary Applied Mathematics] Geometric Optimal Control Volume 38 || Synthesis of Optimal Controlled Trajectories: From Local to Global Solutions

Schättler, Heinz, Ledzewicz, Urszula

Year:

2012

Language:

english

File:

PDF, 723 KB

english, 2012

11

[Interdisciplinary Applied Mathematics] Geometric Optimal Control Volume 38 || Reachable Sets of Linear Time-Invariant Systems: From Convex Sets to the Bang-Bang Theorem

Schättler, Heinz, Ledzewicz, Urszula

Year:

2012

Language:

english

File:

PDF, 437 KB

english, 2012

12

[Interdisciplinary Applied Mathematics] Geometric Optimal Control Volume 38 || || Front_matter

Schättler, Heinz, Ledzewicz, Urszula

Year:

2012

Language:

english

File:

PDF, 846 KB

english, 2012

13

Optimal controls for a model with pharmacokinetics maximizing bone marrow in cancer chemotherapy

Urszula Ledzewicz, Heinz Schättler

Journal:

Mathematical Biosciences

Year:

2007

Language:

english

File:

PDF, 359 KB

english, 2007

14

[Lecture Notes on Mathematical Modelling in the Life Sciences] Mathematical Methods and Models in Biomedicine || A Mathematical Model of Gene Therapy for the Treatment of Cancer

Ledzewicz, Urszula, Schättler, Heinz, Friedman, Avner, Kashdan, Eugene

Year:

2013

Language:

english

File:

PDF, 575 KB

english, 2013

15

[IEEE 2009 IEEE International Conference on Control Applications (CCA) - St. Petersburg, Russia (2009.07.8-2009.07.10)] 2009 IEEE International Conference on Control Applications - On the structure of optimal controls for a mathematical model of tumor anti-angiogenic therapy with linear pharmacokinetics

Ledzewicz, Urszula, Schattler, Heinz, Berman, Andrew

Year:

2009

Language:

english

File:

PDF, 1.42 MB

english, 2009

16

[Interdisciplinary Applied Mathematics] Geometric Optimal Control Volume 38 ||

Schättler, Heinz, Ledzewicz, Urszula

Year:

2012

Language:

english

File:

PDF, 846 KB

english, 2012

17

[Lecture Notes on Mathematical Modelling in the Life Sciences] Mathematical Methods and Models in Biomedicine || Optimisation of Cancer Drug Treatments Using Cell Population Dynamics

Ledzewicz, Urszula, Schättler, Heinz, Friedman, Avner, Kashdan, Eugene

Year:

2013

Language:

english

File:

PDF, 793 KB

english, 2013

18

Optimal control of systems governed by some elliptic equations

Walczak, Stanislaw, Ledzewicz, Urszula

Journal:

Discrete and Continuous Dynamical Systems

Year:

1999

Language:

english

File:

PDF, 206 KB

english, 1999

19

Sufficient conditions for strong local optimality in optimal control problems with $L_{2}$-type objectives and control constraints

Schättler, Heinz, Ledzewicz, Urszula, Maurer, Helmut

Journal:

Discrete and Continuous Dynamical Systems - Series B

Year:

2014

Language:

english

File:

PDF, 651 KB

english, 2014

20

A High-Order Generalized Local Maximum Principle

Ledzewicz, Urszula, Schättler, Heinz

Journal:

SIAM Journal on Control and Optimization

Year:

2000

Language:

english

File:

PDF, 314 KB

english, 2000

21

Comparison of optimal controls for a model in cancer chemotherapy with L 1 - and L 2 -type objectives

Ledzewicz, Urszula, Brown, Tim, Schättler ‡, Heinz

Journal:

Optimization Methods and Software

Year:

2004

Language:

english

File:

PDF, 301 KB

english, 2004

22

ANALYSIS OF A CELL-CYCLE SPECIFIC MODEL FOR CANCER CHEMOTHERAPY

LEDZEWICZ, URSZULA, SCHÄTTLER, HEINZ

Journal:

Journal of Biological System

Year:

2002

Language:

english

File:

PDF, 375 KB

english, 2002

23

[Interdisciplinary Applied Mathematics] Optimal Control for Mathematical Models of Cancer Therapies Volume 42 || Optimal Control of Mathematical Models for Antiangiogenic Treatments

Schättler, Heinz, Ledzewicz, Urszula

Year:

2015

Language:

english

File:

PDF, 1.93 MB

english, 2015

24

[Interdisciplinary Applied Mathematics] Optimal Control for Mathematical Models of Cancer Therapies Volume 42 || Optimal Control for Mathematical Models of Tumor Immune System Interactions

Schättler, Heinz, Ledzewicz, Urszula

Year:

2015

Language:

english

File:

PDF, 2.16 MB

english, 2015

25

Application of the method of contractor directions to the Dubovitskii-Milyutin formalism

Urszula Ledzewicz-Kowalewska

Journal:

Journal of Mathematical Analysis and Applications

Year:

1987

Language:

english

File:

PDF, 488 KB

english, 1987

26

A necessary condition for the extremal problems under Gâteaux differentiability

Urszula Łȩdzewicz-Kowalewska

Journal:

Journal of Mathematical Analysis and Applications

Year:

1988

Language:

english

File:

PDF, 495 KB

english, 1988

27

On extremum problems in the presence of unbounded operator constraint

Urszula Ledzewicz-Kowalewska

Journal:

Journal of Mathematical Analysis and Applications

Year:

1990

Language:

english

File:

PDF, 613 KB

english, 1990

28

On some specification of the Dubovitskii-Milyutin method

Urszula Łedzewicz-Kowalewska

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1986

Language:

english

File:

PDF, 316 KB

english, 1986

29

Application of some specification of the Dubovitskii-Milyutin method to problems of optimal control

Urszula Łȩdzewicz-Kowalewska

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1988

Language:

english

File:

PDF, 443 KB

english, 1988

30

A necessary and sufficient condition for Altman's maximal element problem for constraint sets with many equalities

Urszula Ledzewicz-Kowalewska

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1989

Language:

english

File:

PDF, 524 KB

english, 1989

31

Optimality and pareto optimality conditions for the problems with nonregular operator equality constraints

Urszula Ledzewicz-Kowalewska

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1991

Language:

english

File:

PDF, 855 KB

english, 1991

32

On the Lusternik theorem for nonsmooth operators

Urszula Ledzewicz, Stanislaw Walczak

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1994

Language:

english

File:

PDF, 469 KB

english, 1994

33

A model for cancer chemotherapy with state-space constraints

Maria do Rosario de Pinho, Maria Margarida Ferreira, Urszula Ledzewicz, Heinz Schaettler

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2005

Language:

english

File:

PDF, 194 KB

english, 2005

34

On an extension of a mathematical model for tumor anti-angiogenesis

Urszula Ledzewicz, Heinz Schaettler

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2009

Language:

english

File:

PDF, 334 KB

english, 2009

35

A local generalized Hilbert invariant integral

Urszula Ledzewicz, Andrzej Nowakowski, Heinz Schaettler

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2001

File:

PDF, 549 KB

2001

36

AN EXTENDED MAXIMUM PRINCIPLE

URSZULA LEDZEWICZ, HEINZ SCHÄTTLER

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1997

Language:

english

File:

PDF, 1.34 MB

english, 1997

37

High-order tangent cones and their application in optimization

Urszula Ledzewicz, Heinz Schättler

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1997

Language:

english

File:

PDF, 836 KB

english, 1997

38

A high-order generalization of the Lyusternik theorem

Urszula Ledzewicz, Heinz Schättler

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1998

Language:

english

File:

PDF, 162 KB

english, 1998

39

Optimal and suboptimal protocols for a class of mathematical models of tumor anti-angiogenesis

Urszula Ledzewicz, Heinz Schättler

Journal:

Journal of Theoretical Biology

Year:

2008

Language:

english

File:

PDF, 844 KB

english, 2008

40

On optimal delivery of combination therapy for tumors

Alberto d’Onofrio, Urszula Ledzewicz, Helmut Maurer, Heinz Schättler

Journal:

Mathematical Biosciences

Year:

2009

Language:

english

File:

PDF, 564 KB

english, 2009

41

AntiAngiogenic Therapy in Cancer Treatment as an Optimal Control Problem

Ledzewicz, Urszula, Schättler, Heinz

Journal:

SIAM Journal on Control and Optimization

Year:

2007

Language:

english

File:

PDF, 534 KB

english, 2007

42

High-Order Approximations and Generalized Necessary Conditions for Optimality

Ledzewicz, Urszula, Schättler, Heinz

Journal:

SIAM Journal on Control and Optimization

Year:

1998

Language:

english

File:

PDF, 449 KB

english, 1998

43

Optimal response to chemotherapy for a mathematical model of tumor–immune dynamics

Urszula Ledzewicz, Mohammad Naghnaeian, Heinz Schättler

Journal:

Journal of Mathematical Biology

Year:

2012

Language:

english

File:

PDF, 1.15 MB

english, 2012

44

[Lecture Notes on Mathematical Modelling in the Life Sciences] Mathematical Methods and Models in Biomedicine || Epidemiological Models with Seasonality

Ledzewicz, Urszula, Schättler, Heinz, Friedman, Avner, Kashdan, Eugene

Year:

2013

Language:

english

File:

PDF, 311 KB

english, 2013

45

[Lecture Notes on Mathematical Modelling in the Life Sciences] Mathematical Methods and Models in Biomedicine || Spatial Aspects of HIV Infection

Ledzewicz, Urszula, Schättler, Heinz, Friedman, Avner, Kashdan, Eugene

Year:

2013

Language:

english

File:

PDF, 580 KB

english, 2013

46

[Lecture Notes on Mathematical Modelling in the Life Sciences] Mathematical Methods and Models in Biomedicine ||

Ledzewicz, Urszula, Schättler, Heinz, Friedman, Avner, Kashdan, Eugene

Year:

2013

Language:

english

File:

PDF, 8.62 MB

english, 2013

47

[IEEE 2009 IEEE International Conference on Control Applications (CCA) - St. Petersburg, Russia (2009.07.8-2009.07.10)] 2009 IEEE International Conference on Control Applications - Piecewise constant suboptimal controls for a system describing tumor growth under angiogenic treatment

Ledzewicz, Urszula, Schattler, Heinz, Marriott, John

Year:

2009

Language:

english

File:

PDF, 1.21 MB

english, 2009

48

A 3-Compartment Model for Chemotherapy of Heterogeneous Tumor Populations

Ledzewicz, Urszula, Bratton, Kenneth, Schättler, Heinz

Journal:

Acta Applicandae Mathematicae

Year:

2015

Language:

english

File:

PDF, 646 KB

english, 2015

49

Optimal controls for a mathematical model of tumor-immune interactions under targeted chemotherapy with immune boost

Ledzewicz, Urszula, Mosalman, Mozhdeh Sadat Faraji, Schättler, Heinz

Journal:

Discrete and Continuous Dynamical Systems - Series B

Year:

2013

Language:

english

File:

PDF, 1.12 MB

english, 2013

50

[IEEE 2009 American Control Conference - St. Louis, MO, USA (2009.06.10-2009.06.12)] 2009 American Control Conference - The effect of pharmacokinetics on optimal protocols for a mathematical model of tumor anti-angiogenic therapy

Ledzewicz, Urszula, Liu, Yi, Schattler, Heinz

Year:

2009

Language:

english

File:

PDF, 1.14 MB

english, 2009

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