scholarly journals Necessary and sufficient conditions for maximal regularity in the study of elliptic differential equations in Hölder spaces

2008 ◽  
Vol 22 (4) ◽  
pp. 973-987 ◽  
Author(s):  
Angelo Favini ◽  
◽  
Rabah Labbas ◽  
Stéphane Maingot ◽  
Hiroki Tanabe ◽  
...  
Keyword(s):  
Differential Equations ◽  
Maximal Regularity ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Hölder Spaces ◽  
Elliptic Differential Equations ◽  
Necessary And Sufficient ◽  
Holder Spaces

Solutions of Multiparameter Systems of Elliptic Differential Equations

2005 ◽  
Vol 5 (2) ◽  
Author(s):  
Joanna Gawrycka ◽  
Slawomir Rybicki
Keyword(s):  
Differential Equations ◽  
Weak Solutions ◽  
Sufficient Conditions ◽  
Global Bifurcation ◽  
Necessary And Sufficient Conditions ◽  
Variational System ◽  
Bifurcation Points ◽  
Elliptic Differential Equations ◽  
Necessary And Sufficient

AbstractIn this article we study bifurcations of weak solutions of the following multiparameter variational system of elliptic differential equations:We formulate necessary and sufficient conditions for the existence of bifurcation points and global bifurcation points of weak solutions of this system.

Oscillation of the Riemann–Weber Version of Euler Differential Equations with Delay

2000 ◽  
Vol 7 (3) ◽  
pp. 577-584
Author(s):  
Jitsuro Sugie ◽  
Mitsuru Iwasaki
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Delay Differential ◽  
Necessary And Sufficient ◽  
Equations With Delay ◽  
Oscillation Of Solutions

Abstract Our concern is to consider delay differential equations of Euler type. Necessary and sufficient conditions for the oscillation of solutions are given. The results extend some famous facts about Euler differential equations without delay.

Necessary and sufficient conditions for oscillation of nonlinear first-order forced differential equations with several delays of neutral type

Analysis ◽  
2019 ◽  
Vol 39 (3) ◽  
pp. 97-105 ◽  
Author(s):  
Sandra Pinelas ◽  
Shyam S. Santra
Keyword(s):  
Differential Equations ◽  
Neutral Type ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
First Order ◽  
Several Delays ◽  
Necessary And Sufficient ◽  
T Tau ◽  
First Order Differential Equations

AbstractIn this work, necessary and sufficient conditions are obtained such that every solution of nonlinear neutral first-order differential equations with several delays of the form\bigl{(}x(t)+r(t)x(t-\tau)\bigr{)}^{\prime}+\sum_{i=1}^{m}\phi_{i}(t)H\bigl{(}% x(t-\sigma_{i})\bigr{)}=f(t)is oscillatory or tends to zero as {t\rightarrow\infty.} This problem is considered in various ranges of the neutral coefficient r. Finally, some illustrating examples are presented to show that feasibility and effectiveness of main results.

Sign in / Sign up

Export Citation Format

Share Document