Necessary conditions for optimality of cauchy problems for parabolic partial delay-differential equations

1981 ◽  
Vol 34 (1) ◽  
pp. 117-155 ◽  
Author(s):  
S. Nababan ◽  
K. L. Teo
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Necessary Conditions ◽  
Cauchy Problems ◽  
Partial Delay ◽  
Necessary Conditions For Optimality ◽  
Delay Differential

scholarly journals Forced oscillation of conformable fractional partial delay differential equations with impulses

2020 ◽  
Vol 74 (2) ◽  
pp. 61
Author(s):  
S. H. Saker ◽  
K. Logaarasi ◽  
V. Sadhasivam
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Forced Oscillation ◽  
Riccati Technique ◽  
Oscillation Criteria ◽  
Partial Delay ◽  
Interval Oscillation ◽  
Forced Term ◽  
Delay Differential

In this paper, we establish some interval oscillation criteria for impulsive conformable fractional partial delay differential equations with a forced term. The main results will be obtained by employing Riccati technique. Our results extend and improve some results reported in the literature for the classical differential equations without impulses. An example is provided to illustrate the relevance of the new theorems.

scholarly journals Existence and uniqueness of weak solutions of the Cauchy problem for parabolic delay-differential equations

1980 ◽  
Vol 21 (1) ◽  
pp. 65-80 ◽  
Author(s):  
S. Nababan ◽  
K.L. Teo
Keyword(s):  
Cauchy Problem ◽  
Weak Solution ◽  
Differential Equations ◽  
Delay Differential Equations ◽  
Existence And Uniqueness ◽  
A Priori ◽  
Divergence Form ◽  
Partial Delay ◽  
The Cauchy Problem ◽  
Delay Differential

In this paper, a class of systems governed by second order linear parabolic partial delay-differential equations in “divergence form” with Cauchy conditions is considered. Existence and uniqueness of a weak solution is proved and its a priori estimate is established.

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