## Found 4,722 Documents (Results 1–100)

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### Generalized eigenvectors of linear operators and biorthogonal systems. (English)Zbl 07590440

MSC:  33C10 34B30 34L10
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### Basisness of Fučík eigenfunctions for the Dirichlet Laplacian. (English)Zbl 07589887

MSC:  34L10 34B08 47A70
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### Convergence analysis of Havelock-type eigenfunction expansions for hydroelastic problems in water having infinite depth. (English)Zbl 07588037

MSC:  34L10 65N80
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### An eigenfunction expansion formula for one-dimensional two-state quantum walks. (English)Zbl 07587354

MSC:  47A70 47A10 34B20
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### A singular Sturm-Liouville problem with limit circle endpoint and boundary conditions rationally dependent on the eigenparameter. (English)Zbl 07579521

MSC:  34B24 34L15 34L10
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### The absence of eigenvalues for certain operators with partially periodic coefficients. (English. Russian original)Zbl 07578625

St. Petersbg. Math. J. 33, No. 5, 867-878 (2022); translation from Algebra Anal. 33, No. 5, 176-192 (2021).
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### Basis properties of Fučík eigenfunctions for the Neumann Laplacian. (English)Zbl 07574866

MSC:  34B09 34L10 34L15
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### Basis properties of Fučik eigenfunctions. (English)Zbl 07574615

MSC:  34L10 34B08 47A70
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### Concentration of eigenfunctions of Schrödinger operators. (English)Zbl 07572334

MSC:  34L10 35P15 35L05
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### Stationary scattering theory for one-body Stark operators. I. (English)Zbl 07555778

MSC:  81U20 47A70 81U05
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### Generalized Rayleigh-quotient formulas for the real parts, imaginary parts, and moduli of simple eigenvalues of compact operators. (English)Zbl 1490.34107

MSC:  34L10 47A12 74B15
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### Solvability in the sense of sequences for some non Fredholm operators with drift and superdiffusion. (English)Zbl 1491.35153

MSC:  35J10 35P10 35A01
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### Uniform basis property of root vector systems of Dirac operators. (English. Russian original)Zbl 07542529

J. Math. Sci., New York 260, No. 4, 570-582 (2022); translation from Sovrem. Mat., Fundam. Napravl. 64, No. 1, 180-193 (2018).
MSC:  34L40 34L10
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### The differential equation for Jacobi-Sobolev orthogonal polynomials with two linear perturbutions. (English)Zbl 07541930

MSC:  33C47 34B30 34L10
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### A necessary and sufficient condition for the Darboux-Treibich-Verdier potential with its spectrum contained in $$\mathbb{R}$$. (English)Zbl 07536910

MSC:  81Q10 35A21 35P10
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### Some applications of heat flow to Laplace eigenfunctions. (English)Zbl 1487.58022

MSC:  58J35 35K05 35P10
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### A sequence of weighted Birman-Hardy-Rellich inequalities with logarithmic refinements. (English)Zbl 07506758

MSC:  26D10 34A40 34L10
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### On expansion in eigenfunction for Dirac systems on the unbounded time scales. (English)Zbl 07502783

MSC:  34N05 34L10 34L40
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### Applying the Fourier method to a solution for one class of third order differential equations in Banach spaces. (English)Zbl 1484.34191

MSC:  34L10 46M05
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### On the stability of the inverse transmission eigenvalue problem from the data of McLaughlin and Polyakov. (English)Zbl 07486715

MSC:  34A55 34L15 34L10
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### Dynamics of kink-soliton solutions of the $$(2+1)$$-dimensional sine-Gordon equation. (English. Russian original)Zbl 1486.81102

Theor. Math. Phys. 210, No. 1, 68-84 (2022); translation from Teor. Mat. Fiz. 210, No. 1, 80-98 (2022).
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### On the explicit representation of the trace space $$H^{\frac{3}{2}}$$ and of the solutions to biharmonic Dirichlet problems on Lipschitz domains via multi-parameter Steklov problems. (English)Zbl 1485.35170

MSC:  35J40 35P10 46E35
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### The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations. (English)Zbl 1481.35295

MSC:  35P10 35Q61
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### Block basis property for systems of eigenvectors of a class of $$4 \times 4$$ unbounded operator matrices and its application in elasticity. (English)Zbl 07592787

MSC:  47A75 47A70
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### The uniform convergence of Fourier series expansions of a Sturm-Liouville problem with boundary condition which contains the eigenparameter. (English)Zbl 1489.34122

MSC:  34L10 34B09 34B24
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### One dimensional Dirac operators on time scales. (English)Zbl 07529289

MSC:  34N05 34L10 34L05
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### Positive and negative examples for the Riesz basis property of indefinite Sturm-Liouville problems. (English)Zbl 07523173

de Snoo, H. S. V. (ed.) et al., Contributions to mathematics and statistics. Essays in honor of Seppo Hassi. Vaasa: University of Vaasa, School of Technology and Innovation. Acta Wasaensia 462, 69-75 (2021).
MSC:  34B24 34L10

### Excitation and quencing of rotational energy levels of the $$\mathrm{O}_3$$ ozone molecule by collisions with noble gas atoms (Ar and He). (English. Russian original)Zbl 07514156

Russ. Phys. J. 64, No. 7, 1363-1372 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 64, No. 7, 162-170 (2021).
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### A class of dissipative differential operators of order three. (English)Zbl 1484.34089

MSC:  34B20 34L10 47A48
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### Determination of density of elliptic potential. (English)Zbl 07501935

MSC:  35J05 35P10
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### On the multiple spectrum of a problem for the Bessel equation with squared spectral parameter in the boundary condition. (English. Russian original)Zbl 07488195

Differ. Equ. 57, No. 12, 1736-1739 (2021); translation from Differ. Uravn. 57, No. 12, 1715-1718 (2021).
MSC:  34B09 34B30 34L10
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### An eigenfunction manifold generated by a family of periodic boundary value problems. (English. Russian original)Zbl 07483843

Sb. Math. 212, No. 9, 1208-1227 (2021); translation from Mat. Sb. 212, No. 9, 18-39 (2021).
MSC:  34L40 34L10 34B09
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### Quantum size effect probed by NMR measurements. (English)Zbl 1484.81045

Nishimura, Kazuo (ed.) et al., Creative complex systems. Singapore: Springer. Creat. Econ., 215-230 (2021).
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### New representations of the Laguerre-Sobolev and Jacobi-Sobolev orthogonal polynomials. (English)Zbl 1482.33007

Gesztesy, Fritz (ed.) et al., From operator theory to orthogonal polynomials, combinatorics, and number theory. A volume in honor of Lance Littlejohn’s 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 285, 305-327 (2021).
MSC:  33C47 33C45 34L10
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### Spectral asymptotics of solutions of a $$2\times 2$$ system of first-order ordinary differential equations. (English. Russian original)Zbl 07455577

Math. Notes 110, No. 6, 967-971 (2021); translation from Mat. Zametki 110, No. 6, 939-943 (2021).
MSC:  34B09 34B05 34L10
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### Regular spectral problems of hyperbolic type for a system of first-order ordinary differential equations. (English. Russian original)Zbl 07455560

Math. Notes 110, No. 5, 806-810 (2021); translation from Mat. Zametki 110, No. 5, 796-800 (2021).
MSC:  34B09 34B05 34L10
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### Inverse spectral problem for a third-order differential operator with non-local potential. (English)Zbl 07408062

MSC:  34A55 34L10 34L15
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### On eigenproblem for inverted harmonic oscillators. (English)Zbl 1484.34073

Banaszak, Grzegorz (ed.) et al., Arithmetic methods in mathematical physics and biology II. Proceedings of the 2nd international conference, Będlewo, Poland, August 5–11, 2018. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 124, 61-73 (2021).
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### On the orthogonality of generalized eigenspaces for the Ornstein-Uhlenbeck operator. (English)Zbl 07405878

MSC:  47A70 47D03 15A18
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### Symmetric differential operators for Sobolev orthogonal polynomials of Laguerre- and Jacobi-type. (English)Zbl 1489.33009

MSC:  33C47 34L10 34B30
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### Solvability in the sense of sequences for some non-Fredholm operators in higher dimensions. (English)Zbl 1473.35142

Volchenkov, Dimitri (ed.), Nonlinear dynamics, chaos, and complexity. In memory of Professor Valentin Afraimovich. Beijing: Higher Education Press; Singapore: Springer. Nonlinear Phys. Sci., 181-198 (2021).
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