Positive solution for system of nonlinear first-order PBVPs on time scales

2005 ◽  
Vol 62 (1) ◽  
pp. 131-139 ◽  
Author(s):  
Jian-Ping Sun ◽  
Wan-Tong Li
Keyword(s):  
Positive Solution ◽  
Time Scales ◽  
First Order

scholarly journals Density Problems in Sobolev’s Spaces on Time Scales

2021 ◽  
Vol 45 (02) ◽  
pp. 215-223
Author(s):  
AMINE BENAISSA CHERIF ◽  
FATIMA ZOHRA LADRANI
Keyword(s):  
Continuous Function ◽  
Time Scales ◽  
Time Scale ◽  
Function Spaces ◽  
First Order ◽  
Example Spaces

In this paper, we present a generalization of the density some of the functional spaces on the time scale, for example, spaces of rd-continuous function, spaces of Lebesgue Δ-integral and first-order Sobolev’s spaces.

scholarly journals Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales

2018 ◽  
Vol 51 (1) ◽  
pp. 198-210 ◽  
Author(s):  
Douglas R. Anderson ◽  
Masakazu Onitsuka
Keyword(s):  
Time Scales ◽  
Dynamic Equations ◽  
Ulam Stability ◽  
Step Size ◽  
First Order ◽  
Linear Dynamic ◽  
Discrete Step ◽  
Special Cases ◽  
Parameter Values ◽  
Homogeneous Linear

Abstract We establish theHyers-Ulam stability (HUS) of certain first-order linear constant coefficient dynamic equations on time scales, which include the continuous (step size zero) and the discrete (step size constant and nonzero) dynamic equations as important special cases. In particular, for certain parameter values in relation to the graininess of the time scale, we find the minimum HUS constants. A few nontrivial examples are provided. Moreover, an application to a perturbed linear dynamic equation is also included.

scholarly journals Monotone Iterative Technique for Partial Dynamic Equations of First Order on Time Scales

2008 ◽  
Vol 2008 ◽  
pp. 1-7 ◽  
Author(s):  
Peiguang Wang ◽  
Ping Li
Keyword(s):  
Time Scales ◽  
Monotone Iterative Technique ◽  
Dynamic Equations ◽  
Iterative Technique ◽  
First Order ◽  
Monotone Iterative ◽  
Comparison Results

This work is concerned with the monotone iterative technique for partial dynamic equations of first order on time scales and for this purpose, the existence, uniqueness, and comparison results are also established.

scholarly journals On a first-order semipositone boundary value problem on a time scale

2014 ◽  
Vol 8 (2) ◽  
pp. 269-287
Author(s):  
Christopher Goodrich
Keyword(s):  
Boundary Condition ◽  
Boundary Value Problem ◽  
Positive Solution ◽  
Difference Equations ◽  
Dynamic Equation ◽  
Time Scale ◽  
Boundary Value ◽  
First Order ◽  
General Time

We consider the existence of a positive solution to the first-order dynamic equation y?(t)+p(t)y?(t) = ?f (t, y?(t)), t?(a, b)T, subject to the boundary condition y(a) = y(b) + ?T1,T2 F(s, y(s)) ?s for ?1,?2 ? [a,b]T. In this setting, we allow f to take negative values for some (t; y). Our results generalize some recent results for this class of problems, and because we treat the problem on a general time scale T we provide new results for this problem in the case of differential, difference, and q-difference equations. We also provide some discussion of the applicability of our results.

scholarly journals Existence and Uniqueness of Positive Solution for Singular BVPs on Time Scales

2009 ◽  
Vol 2009 (1) ◽  
pp. 728484 ◽  
Author(s):  
Ana Gómez González ◽  
Victoria Otero-Espinar
Keyword(s):  
Positive Solution ◽  
Time Scales ◽  
Existence And Uniqueness
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