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1. Estimates of Approximation Numbers, Nuclearity of the Resolvent of a Third-Order Singular Differential Operator, and the Completeness of Its Root Vectors NSTL国家科技图书文献中心

Muratbekov, Mussakan |  Muratbekov, Madi... -  《Mathematical Methods in the Applied Sciences》 - 2025,48(8) - 8903~8910 - 共8页

摘要: singular differential operator in the space L2(& Ropf |  third-order differential operator and demonstrate the |  solutions to the equation associated with the operator. We |  and obtain two-sided bounds for the singular numbers |  the resolvent of the operator under consideration
关键词: approximation numbers |  completeness of root vectors |  nuclearity |  resolvent |  separability |  singular operator |  third-order differential operator |  third‐order differential operator

2. Cubic spline quasi-interpolation operator to numerically solve integro-differential equations with weakly singular kernels NSTL国家科技图书文献中心

C. Allouch |  D. Barrera... -  《Mathematics and computers in simulation》 - 2025,230(Apr.) - 413~422 - 共10页

摘要:-differential equation with weakly singular kernel. Also, some | -interpolant operator to numerically address a class of |  linear integro-differential equations with weakly |  singular kernel. As stated in Pedas and Tamme (2006), the |  quasi-interpolant operator in this particular space
关键词: Quasi-interpolants operators |  Fredholm integro-differential equations |  Weakly singular kernel |  Graded grids

3. QUASI-PERIODIC SOLUTIONS FOR THE DERIVATIVE NONLINEAR SCHROEDINGER EQUATIONS WITH UNBOUNDED LEGENDRE POTENTIALS NSTL国家科技图书文献中心

XUEMEI LI |  GUANGHUA SHI -  《Discrete and continuous dynamical systems》 - 2025,45(2) - 607~664 - 共58页

摘要:In this paper, the derivative nonlinear |  Schroedinger equations with Legendre potential i |  |~2 _ = 0 subject to certain boundary |  conditions was considered, where the potential function |  ( ) = 1/2 1/4tan~2 , ( /2 , /2), has
关键词: Completely resonant |  quasi-periodic solutions |  KAM for PDE |  singular differential operator |  small divisors

4. Solvability Theory for Singular Integro-Differential Equations in the Class of Generalized Functions NSTL国家科技图书文献中心

Gabbasov, N. S. -  《Computational mathematics and mathematical physics》 - 2025,65(1) - 89~101 - 共13页

摘要: singular differential operator in the principal part is | A linear integro-differential equation with a |  studied. For its approximate solution in the space of |  generalized functions, a special generalized version of the |  collocation method is proposed and substantiated.
关键词: integro-differential equation |  approximate solution |  direct method |  theoretical justification

5. A nonlocal Kirchhoff diffusion problem with singular potential and logarithmic nonlinearity NSTL国家科技图书文献中心

Tan, Zhong |  Yang, Yi -  《Mathematical Methods in the Applied Sciences》 - 2025,48(2) - 2561~2583 - 共23页

摘要: by a nonlocal integro- differential operator L-K:u | In this paper, we investigate the following |  fractional Kirchhoff-type pseudo parabolic equation driven | (s) + M([u](s)(2))L |  (K)u + L (K)u(t) = vertical bar u vertical bar(p-2
关键词: blow-up |  fractional parabolic problem of Kirchhoff type |  logarithmic nonlinearity |  nonlocal integro-differential operator |  singular potential |  blow‐up |  nonlocal integro‐differential operator

6. GLOBAL EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR SINGULAR EIGENVALUE PROBLEMS NSTL国家科技图书文献中心

Nikolaos S. Papageor... |  Jian Zhang... -  《Discrete and continuous dynamical systems,Series S》 - 2025,18(6) - 1440~1456 - 共17页 - 被引量:15

摘要: operator. The singular term is not decoupled from the | We consider a singular eigenvalue problem |  driven by a nonlinear nonhomogeneous differential |  rest of the reaction, as is the case in most singular |  elliptic problems. Using variational tools together with
关键词: Nonlinear nonhomogeneous differential operator |  nonlinear regularity theory |  truncation |  positive solutions |  Hardy's inequality

7. ON THE ROBUST STABILITY OF VOLTERRA DIFFERENTIAL-ALGEBRAIC SYSTEMS NSTL国家科技图书文献中心

Ha, Nguyen thu |  Cuong, Tran manh -  《Communications on pure and applied analysis》 - 2025,24(1) - 60~83 - 共24页

摘要: stability of implicit differential-algebraic equations |  with the leading term of derivatives to be singular |  and the driving term to be a causal linear operator | . In this paper, we deal with the robust | . First, we consider the solvability of linear and
关键词: Quasilinear |  differential-algebraic equation |  causal operator |  index |  robust stability |  robust stability.

8. Existence results of non-local integro-differential problem with singularity under a new fractional Musielak-Sobolev space* NSTL国家科技图书文献中心

Cheng, Yu |  Bai, Zhanbing -  《Journal of physics,A.Mathematical and theoretical》 - 2025,58(4) - 共28页

摘要:-differential operators. The completeness, reflexivity, and |  class of non-local problems with singular | . Furthermore, we provide two concrete operator examples | In this article, we construct a new fractional |  Musielak-Sobolev space designed to address the non
关键词: fractional Musielak-Sobolev space |  singularity |  non-local operator |  Nehari manifold

9. A matrix technique-based numerical treatment of a nonlocal singular boundary value problems NSTL国家科技图书文献中心

Sriwastav, Nikhil |  Barnwal, Amit K.... -  《Mathematical Methods in the Applied Sciences》 - 2025,48(7) - 8322~8341 - 共20页

摘要: involvement of singular boundary value problems. The |  solution of the fusion of a class of singular |  differential equations subject to nonlocal three-point |  Bernoulli polynomials. It transforms the singular boundary |  completely continuous nonlinear operator has been used to
关键词: Bernoulli polynomials |  collocation method |  singular boundary value problems |  three-point boundary value problems |  three‐point boundary value problems

10. A Fractional Laplacian and Its Extension Problem NSTL国家科技图书文献中心

Ben Said, Salem |  Negzaoui, Selma -  《Mathematical Methods in the Applied Sciences》 - 2025,48(9) - 9840~9852 - 共13页

摘要:|x |  differential-difference Laplacian and k is a multiplicity | ))(sigma), we prove Bochner's and singular integral | In this paper, we establish four equivalent | |Delta(k))(sigma) with 0 < sigma< 1, in some class of
关键词: extension problem |  fractional Laplacian |  heat semigroup |  Poisson kernel
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