On the existence of optimal controls of the first boundary value problems for parabolic partial delay-differential equations in divergence form

S. NABABAN; K. L. TEO

doi:10.2969/jmsj/03220343

On the existence of optimal controls of the first boundary value problems for parabolic partial delay-differential equations in divergence form

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/03220343 ◽

1980 ◽

Vol 32 (2) ◽

pp. 343-362 ◽

Cited By ~ 4

Author(s):

S. NABABAN ◽

K. L. TEO

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Delay Differential Equations ◽

Boundary Value ◽

Divergence Form ◽

Optimal Controls ◽

Existence Of Optimal Controls ◽

Partial Delay ◽

Delay Differential

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On the existence of optimal controls of systems governed by quasilinear parabolic partial delay-differential equations

International Journal of Systems Science ◽

10.1080/00207728608926884 ◽

1986 ◽

Vol 17 (9) ◽

pp. 1245-1259 ◽

Cited By ~ 1

Author(s):

E. S. NOUSSAIR ◽

S. NABABAN

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Optimal Controls ◽

Existence Of Optimal Controls ◽

Partial Delay ◽

Delay Differential ◽

Quasilinear Parabolic

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Necessary conditions for optimal controls for systems governed by parabolic partial delay-differential equations in divergence form with first boundary conditions

Journal of Optimization Theory and Applications ◽

10.1007/bf00940547 ◽

1982 ◽

Vol 36 (4) ◽

pp. 565-613 ◽

Cited By ~ 6

Author(s):

S. Nababan ◽

K. L. Teo

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Delay Differential Equations ◽

Necessary Conditions ◽

Divergence Form ◽

Optimal Controls ◽

Partial Delay ◽

Delay Differential

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Boundary value problems for delay-differential equations

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1968-12114-7 ◽

1968 ◽

Vol 74 (5) ◽

pp. 997-1001 ◽

Cited By ~ 16

Author(s):

L. J. Grimm ◽

Klaus Schmitt

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Delay Differential Equations ◽

Boundary Value ◽

Delay Differential

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A numerical method based on finite difference for boundary value problems for singularly perturbed delay differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.08.089 ◽

2008 ◽

Vol 197 (2) ◽

pp. 692-707 ◽

Cited By ~ 33

Author(s):

Mohan K. Kadalbajoo ◽

Kapil K. Sharma

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Boundary Value Problems ◽

Numerical Method ◽

Delay Differential Equations ◽

Boundary Value ◽

Singularly Perturbed ◽

Delay Differential

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Existence of positive solutions for boundary-value problems of second-order delay differential equations

Applied Mathematics Letters ◽

10.1016/j.aml.2004.07.022 ◽

2005 ◽

Vol 18 (6) ◽

pp. 621-630 ◽

Cited By ~ 16

Author(s):

Dingyong Bai ◽

Yuantong Xu

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Positive Solutions ◽

Delay Differential Equations ◽

Boundary Value ◽

Second Order ◽

Existence Of Positive Solutions ◽

Delay Differential

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Existence of Solutions of Boundary Value Problems for Impulsive Delay Differential Equations

Results in Mathematics ◽

10.1007/s00025-009-0424-7 ◽

2009 ◽

Vol 55 (3-4) ◽

pp. 417-425 ◽

Cited By ~ 1

Author(s):

Jianli Li ◽

Jianhua Shen

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Delay Differential Equations ◽

Existence Of Solutions ◽

Boundary Value ◽

Impulsive Delay Differential Equations ◽

Impulsive Delay ◽

Delay Differential

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Eigenvalue criteria for existence of multiple positive solutions to boundary value problems of second-order delay differential equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2004.07.037 ◽

2005 ◽

Vol 301 (2) ◽

pp. 457-476 ◽

Cited By ~ 6

Author(s):

Chuanzhi Bai ◽

Jipu Ma

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Positive Solutions ◽

Delay Differential Equations ◽

Boundary Value ◽

Second Order ◽

Multiple Positive Solutions ◽

Delay Differential

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Multiple positive solutions for boundary value problems of second-order delay differential equations

Applied Mathematics Letters ◽

10.1016/s0893-9659(02)80009-x ◽

2002 ◽

Vol 15 (5) ◽

pp. 575-583 ◽

Cited By ~ 22

Author(s):

Daqing Jiang

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Positive Solutions ◽

Delay Differential Equations ◽

Boundary Value ◽

Second Order ◽

Multiple Positive Solutions ◽

Delay Differential

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A numerical method to boundary value problems for second order delay differential equations

Numerische Mathematik ◽

10.1007/bf01396496 ◽

1979 ◽

Vol 33 (1) ◽

pp. 69-75 ◽

Cited By ~ 17

Author(s):

Pavel Chocholaty ◽

Ludomir Slahor

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Numerical Method ◽

Delay Differential Equations ◽

Boundary Value ◽

Second Order ◽

Delay Differential

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Boundary value problems for second order delay differential equations

Opuscula Mathematica ◽

10.7494/opmath.2012.32.3.551 ◽

2012 ◽

Vol 32 (3) ◽

pp. 551

Author(s):

Lidia Skóra

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Delay Differential Equations ◽

Boundary Value ◽

Second Order ◽

Delay Differential

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