Results 71 to 80 of about 1,037,243 (332)

Differential-integral Euler–Lagrange equations [PDF]

Iranian Journal of Numerical Analysis and Optimization
We study the calculus of variations problem in the presence of a system of differential-integral (D-I) equations. In order to identify the necessary optimality conditions for this problem, we derive the so-called D-I Euler–Lagrange equations.
Mohammedd Shehata
doaj   +1 more source

Structural insights into an engineered feruloyl esterase with improved MHET degrading properties

FEBS Letters, EarlyView.
A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa, Konstantinos Makryniotis, Theofani‐Iosifina Sousani, Evangelos Topakas, Vangelis Daskalakis, Maria Dimarogona   +5 more
wiley   +1 more source

A class of Runge–Kutta methods for nonlinear Volterra integral equations of the second kind with singular kernels

Advances in Difference Equations, 2018
This paper aims to obtain an approximate solution for fractional order Riccati differential equations (FRDEs). FRDEs are equivalent to nonlinear Volterra integral equations of the second kind.
Bijan Hasani Lichae, Jafar Biazar, Zainab Ayati   +2 more
doaj   +1 more source

Asymptotic solutions of forced nonlinear second order differential equations and their extensions

, 2007
Using a modified version of Schauder's fixed point theorem, measures of non-compactness and classical techniques, we provide new general results on the asymptotic behavior and the non-oscillation of second order scalar nonlinear differential equations on
Mingarelli, Angelo B., Sadarangani, Kishin   +1 more
core   +3 more sources

Application of Hierarchical Matrix Techniques To The Homogenization of Composite Materials [PDF]

, 2013
In this paper, we study numerical homogenization methods based on integral equations. Our work is motivated by materials such as concrete, modeled as composites structured as randomly distributed inclusions imbedded in a matrix.
Cazeaux, Paul, Zahm, Olivier
core   +2 more sources

A Grassmann integral equation

, 2003
The present study introduces and investigates a new type of equation which is called Grassmann integral equation in analogy to integral equations studied in real analysis. A Grassmann integral equation is an equation which involves Grassmann integrations
Aczél J., Anschuetz R., Argyres A. N., Babbage C., Babbage C., Banerjee P. P., Barnabei M., Barndorff-Nielsen O., Barnes A., Barnes T., Bender C. M., Bender C. M., Bender C. M., Caianiello E. R., Caola M. J., Charret I. C., Cheng R., Dams C., de Dominicis C., de Filippo S., Doetsch G., Dolan S., Dosch H. G., Dosch H. G., Euler R., Falconer K. J., Floreanini R., Frydryszak A., Goldberg H., Hamedani G. G., Hamedani G. G., Hardy G. H., Hardy G. H., Hotelling H., Häußling R., Jacobi C. G. J., K. Scharnhorst, Kainz W., Kapuścik E., Karczmarczuk J., Kerler W., Klauder J. R., Kleinert P., Knyazev A. G., Kotecký R., Laitoch M., Laue G., Lawson J. W., Lovely R. M., Lukacs E., Lukacs E., Lévy P., Malbouisson A. P. C., Marcus M., Marinaro M., Massera J. L., McCarthy P. J., McCarthy P. J., McCarthy P. J., McCarthy P. J., Mehrotra B. M., Nosratinia A., Okopińska A., Patrascioiu A., Pestana D., Pierce W. E., Prokhorov L. V., Prokhorov L. V., Rossberg H.-J., Rossberg H.-J., Scarpetta G., Scharnhorst K., Schladitz K., Schladitz K., Schwerdtfeger H., Teugels J. L., Ullah N., Vivier M.   +77 more
core   +1 more source

A methionine‐lined active site governs carbocation stabilization and product specificity in a bacterial terpene synthase

FEBS Letters, EarlyView.
This study reveals a unique active site enriched in methionine residues and demonstrates that these residues play a critical role by stabilizing carbocation intermediates through novel sulfur–cation interactions. Structure‐guided mutagenesis further revealed variants with significantly altered product profiles, enhancing pseudopterosin formation. These
Marion Ringel, Carl P. O. Helmer, Shani Zev, Ronja Driller, Emily Buhr, Markus Reinbold, Renana Schwartz, Gabriel Foley, Mikael Boden, Daniel Garbe, Gerhard Schenk, Dan Thomas Major, Bernhard Loll, Thomas Brück   +13 more
wiley   +1 more source

Hyperbolic harmonic functions and the associated integral equations

Annals of the West University of Timisoara: Mathematics and Computer Science, 2015
In this paper we consider a class of integral equations associated with the invariant mean value property of hyperbolic harmonic functions. We have shown that nonconstant solutions of these integral equations are functions of unbounded variations and do ...
Das Namita, Lal Rajendra Prasad
doaj   +1 more source

Towards an Efficient Finite Element Method for the Integral Fractional Laplacian on Polygonal Domains

, 2017
We explore the connection between fractional order partial differential equations in two or more spatial dimensions with boundary integral operators to develop techniques that enable one to efficiently tackle the integral fractional Laplacian.
AA Golovin, AH Stroud, Alexandre Ern, BJ West, IG Graham, IH Sloan, IH Sloan, Krzysztof Bogdan, L Caffarelli, LR Scott, M D’Elia, Mark Ainsworth, Mark Ainsworth, MG Duffy, MM Meerschaert, P Ciarlet, Raffaella Servadei, RH Nochetto, RK Getoor, S Erichsen, SA Silling, Stefan A. Sauter, T Koto, W Hackbusch, WCH McLean, Y Yan, ZQ Chen   +26 more
core   +1 more source

Valosin‐containing protein counteracts ATP‐driven dissolution of FUS condensates through its ATPase activity in vitro

FEBS Letters, EarlyView.
Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura, Shin‐ichi Tate, Kyota Yasuda   +2 more
wiley   +1 more source