Existence and uniqueness of initial value problems for a class of second-order differential equations

Journal of Differential Equations ◽

10.1016/0022-0396(89)90135-6 ◽

1989 ◽

Vol 82 (2) ◽

pp. 314-321 ◽

Author(s):

Jeffrey R.L Webb ◽

Stewart C Welsh

Keyword(s):

Differential Equations ◽

Existence And Uniqueness ◽

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Second Order Differential Equations

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Strongly P-Positive Operators and Explicit Representations of the Solutions of Initial Value Problems for Second-Order Differential Equations in Banach Space

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1999.6430 ◽

1999 ◽

Vol 236 (2) ◽

pp. 327-349 ◽

Author(s):

Ivan P. Gavrilyuk

Keyword(s):

Banach Space ◽

Differential Equations ◽

Initial Value Problems ◽

Second Order ◽

Positive Operators ◽

Initial Value ◽

Second Order Differential Equations ◽

Explicit Representations

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Inverse linear multistep methods for the numerical solution of initial value problems of second order differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/0771-050x(81)90043-7 ◽

1981 ◽

Vol 7 (2) ◽

pp. 111-114 ◽

Author(s):

U.Anantha Krishnaiah

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Initial Value Problems ◽

Multistep Methods ◽

Second Order ◽

Linear Multistep Methods ◽

Initial Value ◽

Second Order Differential Equations

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On the exact solutions for initial value problems of second-order differential equations

Applied Mathematics Letters ◽

10.1016/j.aml.2009.01.038 ◽

2009 ◽

Vol 22 (8) ◽

pp. 1248-1251 ◽

Author(s):

Lazhar Bougoffa

Keyword(s):

Differential Equations ◽

Exact Solutions ◽

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Second Order Differential Equations

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Existence and uniqueness of solutions for initial value problems of second order ordinary differential equations in Banach spaces

Applied Mathematics and Mechanics ◽

10.1007/bf02463855 ◽

1999 ◽

Vol 20 (3) ◽

pp. 290-299

Author(s):

Hong Shihuang ◽

Hu Shigeng

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Banach Spaces ◽

Existence And Uniqueness ◽

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Uniqueness Of Solutions

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P-stable methods for periodic initial value problems of second order differential equations

BIT Numerical Mathematics ◽

10.1007/bf01930988 ◽

1979 ◽

Vol 19 (3) ◽

pp. 347-355 ◽

Author(s):

M. K. Jain ◽

R. K. Jain ◽

U. Anantha Krishnaiah

Keyword(s):

Differential Equations ◽

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Second Order Differential Equations ◽

Periodic Initial Value Problems

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Hybrid numerical methods for periodic initial value problems involving second-order differential equations

Applied Mathematical Modelling ◽

10.1016/0307-904x(81)90060-3 ◽

1981 ◽

Vol 5 (1) ◽

pp. 53-56 ◽

Author(s):

M.K. Jain ◽

R.K. Jain ◽

U. Anatha Krishnaiah

Keyword(s):

Numerical Methods ◽

Differential Equations ◽

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Second Order Differential Equations ◽

Periodic Initial Value Problems

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INITIAL VALUE PROBLEMS FOR SYSTEMS OF ORDINARY FIRST AND SECOND ORDER DIFFERENTIAL EQUATIONS WITH A SINGULARITY OF THE FIRST KIND

Analysis ◽

10.1524/anly.2001.21.4.373 ◽

2001 ◽

Vol 21 (4) ◽

pp. 373-390 ◽

Author(s):

Othmar Koch ◽

Peter Kofler ◽

Ewa B. Weinmüller

Keyword(s):

Differential Equations ◽

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Second Order Differential Equations

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Symmetric multistep Obrechkoff methods with zero phase-lag for periodic initial value problems of second order differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.07.040 ◽

2011 ◽

Author(s):

Sujatha D. Achar

Keyword(s):

Differential Equations ◽

Initial Value Problems ◽

Second Order ◽

Phase Lag ◽

Initial Value ◽

Second Order Differential Equations ◽

Obrechkoff Methods ◽

Periodic Initial Value Problems ◽

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A Sixth-order P-stable Symmetric Multistep Method for Periodic Initial-value Problems of Second-order Differential Equations

IMA Journal of Numerical Analysis ◽

10.1093/imanum/4.1.117 ◽

1984 ◽

Vol 4 (1) ◽

pp. 117-125 ◽

Author(s):

R. K. JAIN ◽

N. S. KAMBO ◽

RAKESH GOEL

Keyword(s):

Differential Equations ◽

Initial Value Problems ◽

Multistep Method ◽

Second Order ◽

Sixth Order ◽

Initial Value ◽

Second Order Differential Equations ◽

Periodic Initial Value Problems

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Adaptive methods for periodic initial value problems of second order differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/0771-050x(82)90062-6 ◽

1982 ◽

Vol 8 (2) ◽

pp. 101-104 ◽

Author(s):

U.Anantha Krishnaiah

Keyword(s):

Differential Equations ◽

Initial Value Problems ◽

Adaptive Methods ◽

Second Order ◽

Initial Value ◽

Second Order Differential Equations ◽

Periodic Initial Value Problems

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