Results 61 to 70 of about 328,940 (311)

Monomiality Principle and Eigenfunctions of Differential Operators

International Journal of Mathematics and Mathematical Sciences, 2011
We apply the so-called monomiality principle in order to construct eigenfunctions for a wide set of ordinary differential operators, relevant to special functions and polynomials, including Bessel functions and generalized Gould-Hopper polynomials.
Isabel Cação, Paolo E. Ricci
doaj   +1 more source

Integrable ODEs on Associative Algebras

, 1999
In this paper we give definitions of basic concepts such as symmetries, first integrals, Hamiltonian and recursion operators suitable for ordinary differential equations on associative algebras, and in particular for matrix differential equations.
Mikhailov, A. V., Sokolov, V. V.
core   +1 more source

Recurrent cancer‐associated ERBB4 mutations are transforming and confer resistance to targeted therapies

Molecular Oncology, EarlyView.
We show that the majority of the 18 analyzed recurrent cancer‐associated ERBB4 mutations are transforming. The most potent mutations are activating, co‐operate with other ERBB receptors, and are sensitive to pan‐ERBB inhibitors. Activating ERBB4 mutations also promote therapy resistance in EGFR‐mutant lung cancer.
Veera K. Ojala, Sini Ahonen, Sara Peltola, Aura Tuohisto‐Kokko, Olaya Esparta, Peppi Suominen, Anne Jokilammi, Iman Farahani, Deepankar Chakroborty, Nikol Dibus, Steffen Boettcher, Tomi T. Airenne, Mark S. Johnson, Lisa D. Eli, Klaus Elenius, Kari J. Kurppa   +15 more
wiley   +1 more source

Adjoint and self-adjoint differential operators on graphs

Electronic Journal of Differential Equations, 1998
A differential operator on a directed graph with weighted edges is characterized as a system of ordinary differential operators. A class of local operators is introduced to clarify which operators should be considered as defined on the graph.
Robert Carlson
doaj  

The Method of Coupled Fixed Points and Coupled Quasisolutions When Working with ODE’s with Arguments of Bounded Variation

Abstract and Applied Analysis, 2013
The aim of this paper is to show the use of the coupled quasisolutions method as a useful technique when dealing with ordinary differential equations with functional arguments of bounded variation.
Rubén Figueroa
doaj   +1 more source

Bounds on the non-real spectrum of differential operators with indefinite weights [PDF]

, 2012
Ordinary and partial differential operators with an indefinite weight function can be viewed as bounded perturbations of non-negative operators in Krein spaces.
Behrndt, Jussi, Philipp, Friedrich, Trunk, Carsten   +2 more
core   +1 more source

Reduction Operators of Linear Second-Order Parabolic Equations

, 2008
The reduction operators, i.e., the operators of nonclassical (conditional) symmetry, of (1+1)-dimensional second order linear parabolic partial differential equations and all the possible reductions of these equations to ordinary differential ones are ...
Bluman G W, Fushchych W I, Fushchych W I, Fushchych W I, Fushchych W I, Kingston J G, Lie S, Lie S, Matveev V B, Olver P, Olver P J, Ovsiannikov L V, Popovych R O, Popovych R O, Popovych R O, Popovych R O, Popovych R O, Popovych R O, Popovych R O, Popovych R O Eshraghi H, Popovych R O Korneva I P, Popovych R O Kunzinger M Eshraghi H, Prokhorova M, Roman O Popovych, Sergyeyev A, Vasilenko O F, Webb G M   +26 more
core   +2 more sources

Completely Continuous Inverses of Ordinary Differential Operators [PDF]

Proceedings of the American Mathematical Society, 1969
Many important properties, such as the absence of essential spectrum, follow when an ordinary differential operator comes from a differential expression such that the minimal operator has completely continuous inverse. This always happens in the case of a compact interval. On infinite intervals it happens much less frequently, however.
openaire   +2 more sources

TRAIL‐PEG‐Apt‐PLGA nanosystem as an aptamer‐targeted drug delivery system potential for triple‐negative breast cancer therapy using in vivo mouse model

Molecular Oncology, EarlyView.
Aptamers are used both therapeutically and as targeting agents in cancer treatment. We developed an aptamer‐targeted PLGA–TRAIL nanosystem that exhibited superior therapeutic efficacy in NOD/SCID breast cancer models. This nanosystem represents a novel biotechnological drug candidate for suppressing resistance development in breast cancer.
Gulen Melike Demirbolat, Aslihan Kucuk, Omer Erdogan, Samed Ozer, Bensu Kozan, Tugba Cuceli, Erkan Gumus, Evrim Cevik, Ozge Cevik   +8 more
wiley   +1 more source

Uniform Convergence of the Spectral Expansion for a Differential Operator with Periodic Matrix Coefficients

Boundary Value Problems, 2008
We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and the quasiperiodic boundary conditions.
O. A. Veliev
doaj   +2 more sources