AMS eContent Search Results 
[1] Marino Belloni.
Interpretation of Lavrentiev phenomenon by
relaxation: the higher order case
.
Trans. Amer. Math. Soc.
347
(1995)
20112023.
MR 1290714.
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[2] Arrigo Cellina and Carlo Mariconda.
The existence question in the calculus of
variations: a density result
.
Proc. Amer. Math. Soc.
120
(1994)
11451150.
MR 1174488.
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[3] F. H. Clarke.
An indirect method in the calculus of variations
.
Trans. Amer. Math. Soc.
336
(1993)
655673.
MR 1118823.
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[4] E. J. McShane.
Some existence theorems in the calculus of
variations. III. Existence theorems for nonregular
problems
.
Trans. Amer. Math. Soc.
45
(1939)
151171.
MR 1501985.
Abstract, references, and article information
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[5] E. J. McShane.
Some existence theorems in the calculus of
variations. V. The isoperimetric problem in parametric
form
.
Trans. Amer. Math. Soc.
45
(1939)
197216.
MR 1501987.
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[6] E. J. McShane.
Some existence theorems in the calculus of
variations. IV. Isoperimetric problems in nonparametric
form
.
Trans. Amer. Math. Soc.
45
(1939)
173196.
MR 1501986.
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[7] 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)
439453.
MR 1501976.
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[8] E. J. McShane.
Some existence theorems in the calculus of
variations. I. The Dresden corner condition
.
Trans. Amer. Math. Soc.
44
(1938)
429438.
MR 1501975.
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[9] Lawrence M. Graves.
The existence of an extremum in problems of
Mayer
.
Trans. Amer. Math. Soc.
39
(1936)
456471.
MR 1501857.
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[10] David R. Davis.
Integrals whose extremals are a given
$2n$parameter family of curves
.
Trans. Amer. Math. Soc.
33
(1931)
244251.
MR 1501588.
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[11] C. F. Roos.
A general problem of minimizing an integral with
discontinuous integrand
.
Trans. Amer. Math. Soc.
31
(1929)
5870.
MR 1501468.
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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)
765784.
MR 1501457.
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[13] R. G. D. Richardson.
A problem in the calculus of variations with an
infinite number of auxiliary conditions
.
Trans. Amer. Math. Soc.
30
(1928)
155189.
MR 1501426.
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[14] 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)
6167.
MR 1501264.
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[15] E. J. Miles.
The absolute minimum of a definite integral in a
special field
.
Trans. Amer. Math. Soc.
13
(1912)
3549.
MR 1500903.
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[16] Edward Kasner.
Natural families of trajectories: conservative
fields of force
.
Trans. Amer. Math. Soc.
10
(1909)
201219.
MR 1500834.
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[17] Edward Kasner.
Errata: ``Natural families of trajectories:
conservative fields of force'' [Trans.\ Amer.\ Math.\ Soc.
{\bf 10} (1909), no. 2, 201219; 1500834]
.
Trans. Amer. Math. Soc.
10
(1909)
510.
MR 1500486.
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[18] Anthony Lispenard Underhill.
Invariants of the function $F(x,y,x',y')$ in the
calculus of variations
.
Trans. Amer. Math. Soc.
9
(1908)
316338.
MR 1500816.
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[19] Oskar Bolza.
Existence proof for a field of extremals tangent to
a given curve
.
Trans. Amer. Math. Soc.
8
(1907)
399404.
MR 1500794.
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[20] Gilbert Ames Bliss.
A new form of the simplest problem of the calculus
of variations
.
Trans. Amer. Math. Soc.
8
(1907)
405414.
MR 1500795.
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[21] 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, 405414; 1500795]
.
Trans. Amer. Math. Soc.
8
(1907)
536.
MR 1500484.
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[22] 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)
110112.
MR 1500664.
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[23] 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)
113125.
MR 1500665.
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[24] Gilbert Ames Bliss.
The second variation of a definite integral when
one endpoint is variable
.
Trans. Amer. Math. Soc.
3
(1902)
132141.
MR 1500591.
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[25] Oskar Bolza.
Proof of the sufficiency of Jacobi's condition for
a permanent sign of the second variation in the socalled
isoperimetric problems
.
Trans. Amer. Math. Soc.
3
(1902)
305311.
MR 1500602.
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[26] 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, 273295; 1500569]
.
Trans. Amer. Math. Soc.
3
(1902)
500.
MR 1500450.
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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)
166182.
MR 1500563.
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[28] Oskar Bolza.
New proof of a theorem of Osgood's in the calculus
of variations
.
Trans. Amer. Math. Soc.
2
(1901)
422427.
MR 1500577.
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[29] 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)
273295.
MR 1500569.
Abstract, references, and article information
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[30] 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, 273295; 1500569]
.
Trans. Amer. Math. Soc.
2
(1901)
486.
MR 1500445.
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