Latest Research in Nonlinear Differential Equations Analysis

108 research papers · 2026 median publication year

Top Research Topics in Nonlinear Differential Equations Analysis

Highest-Cited Papers

  1. Lyapunov Functions Certify Stability via Scalar Monotonic Decrease — E8 Intelligence Research
  2. Lyapunov Functions Certify Stability via Scalar Monotonic Decrease — E8 Intelligence Research
  3. Weak solutions for a generalized Katugampola fractional Langevin inclusion with boundary condition
  4. Trajectory Controllability of Higher‐Order Coupled Stochastic Switched Systems Involving Hilfer Fractional Derivatives and Non‐Instantaneous Impulses via Measures of Noncompactness
  5. String kernel representations in elastostatics
  6. Geometric Hybrid Dynamical Systems: Part I - Modeling and Stability
  7. Existence and Stability of Positive Solutions for a Class of Delta Fractional Perturbed Problems
  8. On Some Applications to the Newton--Raphson Method
  9. Analytic Study of $p$-Bessel Functions: Fractional Calculus, Integral Representations, and Complex Extensions
  10. On Solutions to Graphon McKean-Vlasov SDEs of Nemytskii-type
  11. A Stein Proof of the Burke Property for the Stationary O'Connell-Yor Polymer
  12. Approximation and composition of functions in quantized tensor trains via orthogonal polynomial expansions
  13. Ergodicity for a class of stochastic Hasegawa-Mima equations with dissipation
  14. Ergodicity of stochastic functional differential equation with jumps and finite delay
  15. Convergence in Hölder norms for Markovian approximations of stochastic Volterra equations
  16. Master Equations for Mean Field Game of Controls: A Unification of Weak Solution Notions
  17. Viscosity solution of systems of integral-partial differential equations with interconnected obstacles without Monotonicity Conditions and infinite L{é}vy measure
  18. Frame bounds and bandwidth tiling for time-causal bandpass wavelets
  19. How well do fast discrete trigonometric transforms work for parametric numerical integration?
  20. Solvability of Nonlinear Discrete Fractional Equations with Mixed-Order Nabla Operators and Dirichlet Boundaries
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
L3 Region - - 2026 Sep Q3

Nonlinear Differential Equations Analysis

108 papers

Top Topics (10)

Probability25
Numerical Analysis13
Nonlinear Differential Equations Analysis11
Fractional Differential Equations Solutions9
Optimization and Control7
Analysis of PDEs6
Stochastic processes and financial applications5
Dynamical Systems3
Functional Analysis3
Statistical Mechanics and Entropy2

Top Publications (20)

1.Lyapunov Functions Certify Stability via Scalar Monotonic Decrease — E8 Intelligence Research2.Lyapunov Functions Certify Stability via Scalar Monotonic Decrease — E8 Intelligence Research3.Weak solutions for a generalized Katugampola fractional Langevin inclusion with boundary condition4.Trajectory Controllability of Higher‐Order Coupled Stochastic Switched Systems Involving Hilfer Fractional Derivatives and Non‐Instantaneous Impulses via Measures of Noncompactness5.String kernel representations in elastostatics6.Geometric Hybrid Dynamical Systems: Part I - Modeling and Stability7.Existence and Stability of Positive Solutions for a Class of Delta Fractional Perturbed Problems8.On Some Applications to the Newton--Raphson Method9.Analytic Study of $p$-Bessel Functions: Fractional Calculus, Integral Representations, and Complex Extensions10.On Solutions to Graphon McKean-Vlasov SDEs of Nemytskii-type11.A Stein Proof of the Burke Property for the Stationary O'Connell-Yor Polymer12.Approximation and composition of functions in quantized tensor trains via orthogonal polynomial expansions13.Ergodicity for a class of stochastic Hasegawa-Mima equations with dissipation14.Ergodicity of stochastic functional differential equation with jumps and finite delay15.Convergence in Hölder norms for Markovian approximations of stochastic Volterra equations16.Master Equations for Mean Field Game of Controls: A Unification of Weak Solution Notions17.Viscosity solution of systems of integral-partial differential equations with interconnected obstacles without Monotonicity Conditions and infinite L{é}vy measure18.Frame bounds and bandwidth tiling for time-causal bandpass wavelets19.How well do fast discrete trigonometric transforms work for parametric numerical integration?20.Solvability of Nonlinear Discrete Fractional Equations with Mixed-Order Nabla Operators and Dirichlet Boundaries
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.