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[1] Marino Belloni.
Interpretation of Lavrentiev phenomenon by
relaxation: the higher order case
.
Trans. Amer. Math. Soc.
347
(1995)
2011-2023.
MR 1290714.
Abstract, references, and article information
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This article is available free of charge
[2] F. H. Clarke.
An indirect method in the calculus of variations
.
Trans. Amer. Math. Soc.
336
(1993)
655-673.
MR 1118823.
Abstract, references, and article information
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This article is available free of charge
[3] E. J. McShane.
Some existence theorems in the calculus of
variations. III. Existence theorems for nonregular
problems
.
Trans. Amer. Math. Soc.
45
(1939)
151-171.
MR 1501985.
Abstract, references, and article information
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[4] E. J. McShane.
Some existence theorems in the calculus of
variations. V. The isoperimetric problem in parametric
form
.
Trans. Amer. Math. Soc.
45
(1939)
197-216.
MR 1501987.
Abstract, references, and article information
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[5] E. J. McShane.
Some existence theorems in the calculus of
variations. IV. Isoperimetric problems in non-parametric
form
.
Trans. Amer. Math. Soc.
45
(1939)
173-196.
MR 1501986.
Abstract, references, and article information
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[6] E. J. McShane.
Some existence theorems in the calculus of
variations. II. Existence theorems for isoperimetric
problems in the plane
.
Trans. Amer. Math. Soc.
44
(1938)
439-453.
MR 1501976.
Abstract, references, and article information
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[7] E. J. McShane.
Some existence theorems in the calculus of
variations. I. The Dresden corner condition
.
Trans. Amer. Math. Soc.
44
(1938)
429-438.
MR 1501975.
Abstract, references, and article information
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[8] Lawrence M. Graves.
The existence of an extremum in problems of
Mayer
.
Trans. Amer. Math. Soc.
39
(1936)
456-471.
MR 1501857.
Abstract, references, and article information
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[9] David R. Davis.
Integrals whose extremals are a given
$2n$-parameter family of curves
.
Trans. Amer. Math. Soc.
33
(1931)
244-251.
MR 1501588.
Abstract, references, and article information
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[10] C. F. Roos.
A general problem of minimizing an integral with
discontinuous integrand
.
Trans. Amer. Math. Soc.
31
(1929)
58-70.
MR 1501468.
Abstract, references, and article information
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[11] R. G. D. Richardson.
A problem in the calculus of variations with an
infinite number of auxiliary conditions
.
Trans. Amer. Math. Soc.
30
(1928)
155-189.
MR 1501426.
Abstract, references, and article information
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[12] Thomas H. Rawles.
The invariant integral and the inverse problem in
the calculus of variations
.
Trans. Amer. Math. Soc.
30
(1928)
765-784.
MR 1501457.
Abstract, references, and article information
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[13] Gillie A. Larew.
The Hilbert integral and Mayer fields for the
problem of Mayer in the calculus of variations
.
Trans. Amer. Math. Soc.
26
(1924)
61-67.
MR 1501264.
Abstract, references, and article information
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[14] E. J. Miles.
The absolute minimum of a definite integral in a
special field
.
Trans. Amer. Math. Soc.
13
(1912)
35-49.
MR 1500903.
Abstract, references, and article information
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[15] Edward Kasner.
Natural families of trajectories: conservative
fields of force
.
Trans. Amer. Math. Soc.
10
(1909)
201-219.
MR 1500834.
Abstract, references, and article information
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[16] Edward Kasner.
Errata: ``Natural families of trajectories:
conservative fields of force'' [Trans.\ Amer.\ Math.\ Soc.
{\bf 10} (1909), no. 2, 201--219; 1500834]
.
Trans. Amer. Math. Soc.
10
(1909)
510.
MR 1500486.
Abstract, references, and article information
View Article: PDF
[17] Anthony Lispenard Underhill.
Invariants of the function $F(x,y,x',y')$ in the
calculus of variations
.
Trans. Amer. Math. Soc.
9
(1908)
316-338.
MR 1500816.
Abstract, references, and article information
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[18] Oskar Bolza.
Existence proof for a field of extremals tangent to
a given curve
.
Trans. Amer. Math. Soc.
8
(1907)
399-404.
MR 1500794.
Abstract, references, and article information
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[19] Gilbert Ames Bliss.
A new form of the simplest problem of the calculus
of variations
.
Trans. Amer. Math. Soc.
8
(1907)
405-414.
MR 1500795.
Abstract, references, and article information
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[20] Gilbert Ames Bliss.
Errata: ``A new form of the simplest problem of the
calculus of variations'' [Trans.\ Amer.\ Math.\ Soc. {\bf 8}
(1907), no. 3, 405--414; 1500795]
.
Trans. Amer. Math. Soc.
8
(1907)
536.
MR 1500484.
Abstract, references, and article information
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[21] E. Goursat.
A simple proof of a theorem in the calculus of
variations (extract from a letter to Mr.\ W. F. Osgood)
.
Trans. Amer. Math. Soc.
5
(1904)
110-112.
MR 1500664.
Abstract, references, and article information
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[22] Gilbert Ames Bliss.
An existence theorem for a differential equation of
the second order, with an application to the calculus of
variations
.
Trans. Amer. Math. Soc.
5
(1904)
113-125.
MR 1500665.
Abstract, references, and article information
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[23] Oskar Bolza.
Proof of the sufficiency of Jacobi's condition for
a permanent sign of the second variation in the so-called
isoperimetric problems
.
Trans. Amer. Math. Soc.
3
(1902)
305-311.
MR 1500602.
Abstract, references, and article information
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[24] Gilbert Ames Bliss.
The second variation of a definite integral when
one end-point is variable
.
Trans. Amer. Math. Soc.
3
(1902)
132-141.
MR 1500591.
Abstract, references, and article information
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[25] W. F. Osgood.
Errata: ``On a fundamental property of a minimum in
the calculus of variations and the proof of a theorem of
Weierstrass's'' [Trans.\ Amer.\ Math.\ Soc. {\bf 2} (1901),
no. 3, 273--295; 1500569]
.
Trans. Amer. Math. Soc.
3
(1902)
500.
MR 1500450.
Abstract, references, and article information
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[26] Oskar Bolza.
New proof of a theorem of Osgood's in the calculus
of variations
.
Trans. Amer. Math. Soc.
2
(1901)
422-427.
MR 1500577.
Abstract, references, and article information
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[27] W. F. Osgood.
On the existence of a minimum of the integral
$\int\sp {x\sb 1}\sb {x\sb 0}F(x,y,y')dx$ when $x\sb 0$ and
$x\sb 1$ are conjugate points, and the geodesics on an
ellipsoid of revolution: a revision of a theorem of
Kneser's
.
Trans. Amer. Math. Soc.
2
(1901)
166-182.
MR 1500563.
Abstract, references, and article information
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[28] W. F. Osgood.
On a fundamental property of a minimum in the
calculus of variations and the proof of a theorem of
Weierstrass's
.
Trans. Amer. Math. Soc.
2
(1901)
273-295.
MR 1500569.
Abstract, references, and article information
View Article: PDF
[29] W. F. Osgood.
Errata: ``On a fundamental property of a minimum in
the calculus of variations and the proof of a theorem of
Weierstrass's'' [Trans.\ Amer.\ Math.\ Soc. {\bf 2} (1901),
no. 3, 273--295; 1500569]
.
Trans. Amer. Math. Soc.
2
(1901)
486.
MR 1500445.
Abstract, references, and article information
View Article: PDF
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