Results 91 to 100 of about 20,567 (306)

On the generalized fractal calculus of variations [PDF]

In this paper, we provide a brief overview of fractal calculus and present a comprehensive study of the calculus of variations for functionals on fractal sets.
Furuichi, Shigeru, Cattani, Carlo, Park, Choonkil, Khalili Golmankhaneh, Alireza   +3 more
core   +1 more source

Solution of the inverse problem of the calculus of variations [PDF]

, 1941
summary:Given a family of curves constituting the general solution of a system of ordinary differential equations, the natural question occurs whether the family is identical with the totality of all extremals of an appropriate variational problem ...
Jesse Douglas, Chrastina, Jan
core   +1 more source

Existence via regularity of solutions for elliptic systems and saddle points of functionals of the calculus of variations

Advances in Nonlinear Analysis, 2017
The core of this paper concerns the existence (via regularity) of weak solutions in W01,2${W_{0}^{1,2}}$ of a class of elliptic systems such ...
Boccardo Lucio, Orsina Luigi
doaj   +1 more source

Phase Angle as an Early Functional Biomarker of Cancer‐Related Fatigue in Pediatric Oncology: A Prospective Longitudinal Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Pediatric cancer remains a leading cause of morbidity and mortality worldwide, particularly in low‐and middle‐income countries. Cancer treatment may impair nutritional status, alter body composition, and exacerbate cancer‐related fatigue (CRF).
Luís Carlos Lopes‐Junior, Luiz Claudio Barreto Silva Neto, Fabiano Kenji Haraguchi, Letícia Batista de Azevedo, Marcelo Brenner Nascimento Carlini, Raphael Manhães Pessanha, Mariana Rabello Laignier, Wesley Rocha Grippa, Tania Mara Lopes Bitti Bortolini, Gláucia Zouain‐Figueiredo, Regina Aparecida Garcia de Lima, Liliana Vasquez   +11 more
wiley   +1 more source

Double integral calculus of variations on time scales [PDF]

, 2006
We consider a version of the double integral calculus of variations on time scales, which includes as special cases the classical two-variable calculus of variations and the discrete two-variable calculus of variations.
Bohner, Martin, Guseinov, Gusein Sh., Martin Bohner, Gusein Sh. Guseinov   +3 more
core   +2 more sources

Development and Implementation of a Disease‐Targeted Storybook as a Clinical Tool for Children With Acute Leukemia

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Although significant progress has been made in childhood leukemia survival, healthcare providers, and caregivers often face challenges in explaining this disease to patients. Disease‐targeted storybooks have been proposed as a tool to facilitate the understanding of diagnoses and treatment.
Nutvipha Ummartyotin, Usanarat Anurathapan, Rawiwan Roongpraiwan, Potchanee Dandamrongrak, Siriporn Nakhonchai, Pawin Numthavaj, Vilawan Chirdkiatgumchai   +6 more
wiley   +1 more source

Nonsmooth Problems of Calculus of Variations via Codifferentiation [PDF]

, 2014
In this paper multidimensional nonsmooth, nonconvex problems of the calculus of variations with codifferentiable integrand are studied. Special classes of codifferentiable functions, that play an important role in the calculus of variations, are ...
Maxim Dolgopolik, Dolgopolik, Maxim
core   +1 more source

Animal‐Assisted Activities With Therapy Dogs in Pediatric Oncology: A Multicenter Survey of the Current Status, Implementation, and Challenges in Germany, Austria, and Switzerland

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Animal‐assisted activities (AAAs) with therapy dogs have shown positive effects on patient well‐being and quality of life in various areas of medicine, including pediatric oncology. However, research on this topic is limited. The aim of this study is to present the current status of AAA in pediatric oncology in Germany, Austria, and
Jan‐Marius Wedig, Birgit Burkhardt, Christof M. Kramm, Kira Ostermann, Sarah C. Goretzki, Uta Dirksen, Nico Kurpiers, Michael M. Schündeln   +7 more
wiley   +1 more source

Calculus of Variations [PDF]

, 2010
Since its invention by Newton, the calculus of variations has formed one of the central techniques for studying problems in geometry, physics, and partial differential equations. This trend continues even today.

core   +2 more sources

Fractional Calculus of Variations for Composed Functionals with Generalized Derivatives

Fractal and Fractional
This paper extends the fractional calculus of variations to include generalized fractional derivatives with dependence on a given kernel, encompassing a wide range of fractional operators.
Ricardo Almeida
doaj   +1 more source