Ordinary and Partial Differential Equations

Partial differential equations related to extremal problems for quasiconformal mappings....Pages 1-14
Singularly perturbed initial value problems....Pages 15-22
Existence and bounds for the lowest critical energy of the hartree operator....Pages 23-34
Positive invariance and a Wazewski Theorem....Pages 35-39
An application of the hausdorff-young inequality to eigenfunction expansions....Pages 40-46
On central dispersions of the differential equation Y″=q(t)Y with periodic coefficients....Pages 47-61
Generalized translation operators associated with a singular differential operator....Pages 62-77
Multi-parameter problems....Pages 78-84
Monotonicity with discontinuities in partial differential equations....Pages 85-102
On a deficiency index theorem of W. N. Everitt....Pages 103-108
The essential self-adjointness of Schrödinger operators....Pages 109-117
Nonlinear elliptic equations....Pages 118-129
A differential inequality with applications to subharmonic functions....Pages 130-132
Inequalities associated with certain partial differential operators....Pages 133-136
The expansion theorem in multi-parameter sturm-liouville theory....Pages 137-142
On the differential equation $$\\mathop \\Sigma \\limits_{r = 0}^n$$ c r (pD 1 +qD 2 ) r u=0....Pages 143-143
Fundamental solutions for degenerate parabolic equations....Pages 144-148
Singular perturbations of a vector boundary value problem....Pages 149-154
Asymptotic integration of linear systems....Pages 155-166
Nonlinear perturbations of linear elliptic operators....Pages 167-172
Limit point-limit circle criteria for (py′)′+qy=λky....Pages 173-183
On second-order differential operators of limit-circle type....Pages 184-187
A dynamical approach to fourth order oscillations....Pages 188-192
Over-determined systems and the rectilinear steady flow of simple fluids....Pages 193-204
A necessary and sufficient limit-circle criterion for left-definite eigenvalue problems....Pages 205-210
Generalized weyl circles....Pages 211-226
Existence and multiplicity of solutions of some nonlinear equations....Pages 227-238
The floquet problem for almost periodic linear differential equations....Pages 239-251
Global estimates for nonlinear reaction and diffusion....Pages 252-266
Perturbation theory for Sobolew spaces....Pages 267-267
Perturbations of self-adjoint operators in L 2 (G) with applications to differential operators....Pages 268-281
Square integrable solutions of L p perturbations of second order linear differential equations....Pages 282-292
Deficiency indices of polynomials in symmetric differential expressions....Pages 293-301
Transform theorems for two-parameter eigenvalue problems in hilbert space....Pages 302-307
Bivariational bounds on 〈φ,g〉, when Aφ=f....Pages 308-310
On the limit point and strong limit point classification of 2n th order differential expressions with wildly oscillating coefficients....Pages 311-315
Determination of Weyl\'s m-coefficient for a continuous spectrum....Pages 316-322
The matrix functional-differential equation y′(x)=Ay(λx)+By(x)....Pages 323-328
A tetrad approach for a system of PDE\'s....Pages 329-333
Quasi-analytic solutions of differential equations....Pages 334-337
Integral inequalities and the Liouville transformation....Pages 338-352
Hopf bifurcation with an infinite limiting period....Pages 353-356
N-Soliton solutions of some non-linear dispersive wave equations of physical significance....Pages 357-362
Continuity of generalized solutions of the cauchy problem for the porous medium equation....Pages 363-367
Two timing for abstract differential equations....Pages 368-372
Counterexamples in the spectral theory of singular Sturm — Liouville operators....Pages 373-382
Perturbation of a singular boundary value problem arising from torsional vibration of an inhomogeneous cylinder....Pages 383-387
Some function theoretical aspects in the theory of partial differential equations....Pages 388-393
A multi-parameter sturm-liouville problem....Pages 394-401
Periodic solutions of holomorphic differential equations....Pages 402-405
Volterra equations on a hilbert space....Pages 406-410
How to get numerical convergence out of instable algorithms....Pages 411-411
On the existence of an interface in nonlinear diffusion processes....Pages 412-416
Hölder continuous nonlinear product integrals....Pages 417-421
Continuous spectra and linear operator equations....Pages 422-428
Asymptotic linearity and a class of noninear Sturm-Liouville problems on the half line....Pages 429-433
An elementary calculus for Green\'s functions associated with singular boundary value problems....Pages 434-438
Gewöhnliche Differentialungleichungen mit quasimonoton wachsenden Funktionen in Banachräumen....Pages 439-443
On the integral equation method for boundary-value problems....Pages 444-447